发表论文
[1] Wang, Zhiqiang, Zhang, Chengxiang, Zhang, Zhitao. MULTIPLE BUMP SOLUTIONS TO LOGARITHMIC SCALAR FIELD EQUATIONS. ADVANCES IN DIFFERENTIAL EQUATIONS[J]. 2023, 28(11-12): 981-1036, http://dx.doi.org/10.57262/ade028-1112-981.[2] LI, Kui, Zhang, Zhitao. LOCAL BEHAVIOR, RADIAL SYMMETRY AND CLASSIFICATION OF SOLUTIONS TO WEIGHTED ELLIPTIC EQUATIONS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S[J]. 2023, http://dx.doi.org/10.3934/dcdss.2023007.[3] Zhang, Zexin, Zhang, Zhitao. Integrability, regularity and symmetry of positive integrable solutions for Wolff type integral systems. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2023, 357: 275-301, http://dx.doi.org/10.1016/j.jde.2023.02.010.[4] Yu, Meng, Zhang, Zhitao. Optimal Liouville-type theorems for polyharmonic elliptic gradient systems and applications,126753. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2023, 519(1): http://dx.doi.org/10.1016/j.jmaa.2022.126753.[5] Gou, Tianxiang, Zhang, Zhitao. Concentration phenomenon of semiclassical states to reaction-diffusion systems. ANNALI DI MATEMATICA PURA ED APPLICATA[J]. 2023, 202(4): 1679-1717, http://dx.doi.org/10.1007/s10231-022-01297-5.[6] Zhang Zhitao, Yu Meng, Zheng Xiaotian. EXISTENCE OF NONTRIVIAL SOLUTIONSTO SCHRODINGER SYSTEMS ¨WITH LINEAR AND NONLINEAR COUPLINGSVIA MORSE THEORY. Topology Methods in Nonlinear Analysis[J]. 2023, 61(2): 701-716, [7] Feng, Xiaojing, Liu, Haidong, Zhang, Zhitao. NORMALIZED SOLUTIONS FOR KIRCHHOFF TYPE EQUATIONS WITH COMBINED NONLINEARITIES: THE SOBOLEV CRITICAL CASE. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS[J]. 2023, 43(8): . 2935-2972, http://dx.doi.org/10.3934/dcds.2023035.[8] Jing Yongtao, Liu Haidong, Zhang Zhitao. Quasilinear Schrödinger equations with bounded coefficients. NONLINEARITY[J]. 2022, 35: 4939-4985, [9] Chen, Jianyi, Sun, Yimin, Xiu, Zonghu, Zhang, Zhitao. Dynamics of nonlinear hyperbolic equations of Kirchhoff type. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS[J]. 2022, 61(3): paper No.118-, http://dx.doi.org/10.1007/s00526-022-02225-4.[10] Zhang Zexin, Zhang Zhitao. Normalized solutions to p-Laplacian equations with combined nonlinearities. Nonlinearity[J]. 2022, 35: 5621-5663, [11] Zhang Zexin, Zhang Zhitao. Normalized solutions of mass subcritical Schrödinger equations in exterior domains. NoDEA Nonlinear Differential Equations Appl.[J]. 2022, 29(3): paper No. 32-, [12] Luo Haijun, Zhang Zhitao. Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrödinger equations.. Electron. Res. Arch.[J]. 2022, 30(8): 2871-2898, [13] Chen, Pengyu, Zhang, Xuping, Zhang, Zhitao. ASYMPTOTIC BEHAVIOR OF TIME PERIODIC SOLUTIONS FOR EXTENDED FISHER-KOLMOGOROV EQUATIONS WITH DELAYS. DISCRETEANDCONTINUOUSDYNAMICALSYSTEMSSERIESB[J]. 2022, 27(3): 1611-1627, http://dx.doi.org/10.3934/dcdsb.2021103.[14] Huang, Shuibo, Zhang, Zhitao, Liu, Zhisu. Qualitative properties of singular solutions to fractional elliptic equations. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS[J]. 2022, 152: 1155-1190, http://dx.doi.org/10.1017/prm.2021.52.[15] Li Zaizheng, Zhang Qidi, Zhang Zhitao. Stable standing waves of nonlinear fractional Schrodinger equations. Commun. Pure Appl. Anal.[J]. 2022, 21(12): 4113-4145, [16] Yun, Zhaoyang, Zhang, Zhitao. Normalized solutions to Schrodinger systems with linear and nonlinear couplings. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2022, 506(1): paper No.125564-paper No.125564, http://dx.doi.org/10.1016/j.jmaa.2021.125564.[17] Cheng xiyou, Li Kui, Zhang Zhitao. Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in R^2 and R^3. Topol. Methods Nonlinear Anal.[J]. 2022, 59(1): 331-357, [18] Hou, Ru, Wang, Zhian, Xu, WenBing, Zhang, Zhitao. The uniform spreading speed in cooperative systems with non-uniform initial data. 2021, http://arxiv.org/abs/2101.02367.[19] 张志涛. Gou Tianxiang, Zhang zhitao, Normalized solutions to the Chern-Simons-Schrodinger system,280,108894. J. Functional Analysis. 2021, [20] 张志涛. Li Kui, Zhang Zhitao, Liouville-type theorem for higher-order Hardy-Henon system, doi: 10.3934/cpaa.2021134. Commun. Pure Appl. Anal.. 2021, [21] 张志涛. Li Zaizheng, Zhang Zhitao, Uniqueness and nondegeneracy of positive solutions to an elliptic system in ecology, doi:10.3934/era.2021060. Electronic research archive. 2021, [22] 张志涛. Cheng Xiyou, Zhang Zhitao, Structure of positive solutions to a class of Schrödinger systems, 14(6),1857–1870.. Discrete Contin. Dyn. Syst. Ser. S,. 2021, [23] 张志涛. Chen Pengyu, Zhang Xuping, Zhang Zhitao, Axymptotic behavior of time periodic solutions for extended Fisher-Kolmogorov Equations with delays,doi:10.3934/dcdsb.2021103. Discrete Contin. Dyn. Syst. Ser. B. 2021, [24] 张志涛. Huang Shuibo, Zhang Zhitao, ZhisuLiu, Qualitative properties of singular solutions to fractional elliptic equations, DOI:10.1017/prm.2021.52. Proceedings of the Royal Society of Edinburgh. 2021, [25] 张志涛. Chen Jianyi, Zhang Zhitao, Chang Guijuan, Zhao Jing,Periodic Solutions to Klein–Gordon Systems with Linear Couplings. Adv. Nonlinear Stud.. 2021, [26] Gou, Tianxiang, Zhang, Zhitao. Normalized solutions to the Chern-Simons-Schrodinger system. JOURNAL OF FUNCTIONAL ANALYSIS[J]. 2021, 280(5): http://dx.doi.org/10.1016/j.jfa.2020.108894.[27] 张志涛. Zhang Xinqiu, Zhang Zhitao, Distribution of positive solutions to Schrödinger systems with linear and nonlinear couplings.. J. Fixed Point Theory Appl.. 2020, [28] Dai, Guowei, Sun, Yimin, Wang, ZhiQiang, Zhang, Zhitao. THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS[J]. 2020, 55(1): 343-367, https://www.webofscience.com/wos/woscc/full-record/WOS:000522653200016.[29] 张志涛. Dai Guowei, Sun Yimin, Wang Zhi-Qiang, Zhang Zhitao,The structure of positive solutions for a Schrödinger system. Topol. Methods Nonlinear Anal. 2020, [30] Cheng, Xiyou, Feng, Zhaosheng, Zhang, Zhitao. MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS[J]. 2020, 19(1): 221-240, http://ir.amss.ac.cn/handle/2S8OKBNM/35149, http://www.irgrid.ac.cn/handle/1471x/6869068, http://ir.amss.ac.cn/handle/2S8OKBNM/35150, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000475504300012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.[31] 张志涛. Haijun Luo, Zhitao Zhang, Normalized solutions to the fractional Schrödinger equations with combined nonlinearities. Calc. Var. Partial Differential Equations. 2020, [32] Zhang, Xinqiu, Zhang, Zhitao. Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS[J]. 2020, 22(2): https://www.webofscience.com/wos/woscc/full-record/WOS:000532346200005.[33] 张志涛. Sun Jingxian, Pan Xingbin, Du Yihong, Liu Zhaoli, Zhang Zhitao, Professor Dajun Guo: a true mathematician and educator. SN Partial Differential Equations and Applications. 2020, [34] 张志涛. Luo Haijun, Zhang Zhitao,Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. SN Partial Differential Equations and Applications. 2020, [35] 张志涛. Sun Dongdong, Zhang Zhitao, Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. SN Partial Differential Equations and Applications. 2020, [36] Luo, Haijun, Zhang, Zhitao. Normalized solutions to the fractional Schrodinger equations with combined nonlinearities. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS[J]. 2020, 59(4): http://dx.doi.org/10.1007/s00526-020-01814-5.[37] Liu, Zhisu, Zhang, Zhitao, Huang, Shuibo. Existence and nonexistence of positive solutions for a static Schrodinger-Poisson-Slater equation. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2019, 266(9): 5912-5941, http://ir.amss.ac.cn/handle/2S8OKBNM/32472.[38] 张志涛. Dai, Guowei; Tian, Rushun; Zhang, Zhitao Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger systems.. Discrete Contin. Dyn. Syst. Ser. S. 2019, [39] 张志涛. Lou, Zhenluo; Weth, Tobias; Zhang, Zhitao Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type.. Z. Angew. Math. Phys.. 2019, [40] Sun, Dongdong, Zhang, Zhitao. Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK[J]. 2019, 70(1): http://ir.amss.ac.cn/handle/2S8OKBNM/32201.[41] 张志涛. Zhisu Liu, Zhitao Zhang, Shuibo Huang, Existence and nonexistence of positive solutions for a static Schrodinger-Poisson-Slater Equation,. J. Differential Equations, https://doi.org/10.1016/j.jde.2018.10.048. 2019, [42] 张志涛. Liu, Zhisu; Luo, Haijun; Zhang, Zhitao Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on RN.. Nonlinear Anal.. 2019, [43] Kui Li, Zhitao Zhang. A monotonicity theorem and its applications to weighted elliptic equations. 中国科学:数学英文版[J]. 2019, 1925-1934, http://lib.cqvip.com/Qikan/Article/Detail?id=74658871504849574948484851.[44] Li, Kui, Zhang, Zhitao. Proof of the Henon-Lane-Emden conjecture in R-3. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2019, 266(1): 202-226, http://ir.amss.ac.cn/handle/2S8OKBNM/31670.[45] 张志涛. Kui Li , Zhitao Zhang, Proof of the Hénon–Lane–Emden conjecture in R3 , https://doi.org/10.1016/j.jde.2018.07.036. J. Differential Equations,. 2019, [46] 张志涛. Sun, Dongdong; Zhang, Zhitao Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials.. Z. Angew. Math. Phys.. 2019, [47] Lou, Zhenluo, Weth, Tobias, Zhang, Zhitao. Symmetry breaking via Morse index for equations and systems of Henon-Schrodinger type. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK[J]. 2019, 70(1): http://ir.amss.ac.cn/handle/2S8OKBNM/32299.[48] 张志涛. Luo, Haijun; Zhang, Zhitao Existence and nonexistence of bound state solutions for Schrödinger systems with linear and nonlinear couplings.. J. Math. Anal. Appl.. 2019, [49] Liu, Zhisu, Luo, Haijun, Zhang, Zhitao. Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2019, 189: http://ir.amss.ac.cn/handle/2S8OKBNM/35909, http://www.irgrid.ac.cn/handle/1471x/6869083, http://ir.amss.ac.cn/handle/2S8OKBNM/35910, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000490149800006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.[50] Luo, Haijun, Zhang, Zhitao. Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2019, 475(1): 350-363, http://ir.amss.ac.cn/handle/2S8OKBNM/34493, http://www.irgrid.ac.cn/handle/1471x/6869054, http://ir.amss.ac.cn/handle/2S8OKBNM/34494, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000464490800018&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.[51] Li, Kui, Zhang, Zhitao. A monotonicity theorem and its applications to weighted elliptic equations. SCIENCE CHINA-MATHEMATICS[J]. 2019, 62(10): 1925-1934, http://lib.cqvip.com/Qikan/Article/Detail?id=74658871504849574948484851.[52] 张志涛. Kui Li, Zhitao Zhang,Foliated Schwarz symmetry for the nodal solution at second minimax level.. Annali di Matematica Pura ed Applicata (4) 197 (2018), no. 6, 1875–1883,. 2018, [53] Li, Kui, Zhang, Zhitao. Foliated Schwarz symmetry for the nodal solution at the second minimax level. ANNALI DI MATEMATICA PURA ED APPLICATA[J]. 2018, 197(6): 1875-1883, https://www.webofscience.com/wos/woscc/full-record/WOS:000444801500013.[54] 张志涛. Dongdong Sun, Zhitao Zhang,Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R^3, Vol. 461, No.1,128-149,(2018). J. Math. Appl. Anal.. 2018, [55] 张志涛. K. Perera, Cyril Tintarev, Jun Wang, Zhitao Zhang, Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in , 23 (2018), no. 7-8, 615–648.. Advances in Differential Equations. 2018, [56] Sun, Dongdong, Zhang, Zhitao. Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R-3. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2018, 461(1): 128-149, https://www.webofscience.com/wos/woscc/full-record/WOS:000426141100009.[57] Perera, Kanishka, Tintarev, Cyril, Wang, Jun, Zhang, Zhitao. GROUND AND BOUND STATE SOLUTIONS FOR A SCHRODINGER SYSTEM WITH LINEAR AND NONLINEAR COUPLINGS IN R-N. ADVANCES IN DIFFERENTIAL EQUATIONS[J]. 2018, 23(7-8): 615-648, https://www.webofscience.com/wos/woscc/full-record/WOS:000430759300005.[58] 张志涛. Zhitao Zhang, Haijun Luo, Symmetry and Asymptotic Behavior of Ground State Solutions for Schrodinger Systems with Linear Interaction,. Communications on Pure and Applied Analysis,17 (2018), no. 3, 787–806.. 2018, [59] Perera, Kanishka, Yang, Yang, Zhang, Zhitao. Asymmetric critical p-Laplacian problems. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS[J]. 2018, 57(5): https://www.webofscience.com/wos/woscc/full-record/WOS:000441957300004.[60] 张志涛. Kanishka Perera, Yang Yang, Zhitao Zhang, Asymmetric critical p-Laplacian problems.. CALC. VAR. PARTIAL DIFFERENTIAL EQUATIONS 57 (2018), NO. 5, ART. 131, 18 PP.. 2018, [61] Zhang, Zhitao, Luo, Haijun. SYMMETRY AND ASYMPTOTIC BEHAVIOR OF GROUND STATE SOLUTIONS FOR SCHRODINGER SYSTEMS WITH LINEAR INTERACTION. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS[J]. 2018, 17(3): 787-806, https://www.webofscience.com/wos/woscc/full-record/WOS:000439236400003.[62] 张志涛. Zongming Guo, Linfeng Mei, Zhitao Zhang, Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli. Proceedings of the Royal Society of Edinburgh,147A,1215-1232. 2017, [63] Chen, Jianyi, Zhang, Zhitao. Existence of multiple periodic solutions to asymptotically linear wave equations in a ball. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS[J]. 2017, 56(3): https://www.webofscience.com/wos/woscc/full-record/WOS:000402817100003.[64] 张志涛. Jianyi Chen, Zhitao Zhang, Existence of multiple periodic solutions to asymptotically linear wave equations in a ball. Calc. Var. Partial Differential Equations,56(3), Art 58, 25 pages. 2017, [65] Guo, Zongming, Mei, Linfeng, Zhang, Zhitao. Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS[J]. 2017, 147(6): 1215-1232, https://www.webofscience.com/wos/woscc/full-record/WOS:000423239000003.[66] Motreanu, Dumitru, Moussaoui, Abdelkrim, Zhang, Zhitao. Positive solutions for singular elliptic systems with convection term. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS[J]. 2017, 19(3): 2165-2175, https://www.webofscience.com/wos/woscc/full-record/WOS:000408911000029.[67] Zhang, Zhitao, Wang, Wei. Structure of positive solutions to a Schrodinger system. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS[J]. 2017, 19(1): 877-887, https://www.webofscience.com/wos/woscc/full-record/WOS:000398472200038.[68] 张志涛. Zhitao Zhang, Wei Wang, Structure of positive solutions to a Schrödinger system(2017). J. Fixed Point Theory Appl. 19,877-887.. 2017, [69] Zhang, Zhitao, Sun, Yimin. Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2016, 32(1): 35-54, https://www.webofscience.com/wos/woscc/full-record/WOS:000373403700003.[70] 张志涛. Kui Li, Zhitao Zhang, Existence of solutions for a Schrödinger system with linear and nonlinear couplings.. J. Math. Phys.,57,081504. 2016, [71] Chen, Jianyi, Zhang, Zhitao. Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2016, 260(7): 6017-6037, http://dx.doi.org/10.1016/j.jde.2015.12.026.[72] Li, Kui, Zhang, Zhitao. Existence of solutions for a Schrodinger system with linear and nonlinear couplings. JOURNAL OF MATHEMATICAL PHYSICS[J]. 2016, 57(8): https://www.webofscience.com/wos/woscc/full-record/WOS:000383917300004.[73] Li, Kui, Zhang, Zhitao. A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS[J]. 2016, 36(2): 851-860, https://www.webofscience.com/wos/woscc/full-record/WOS:000360924400018.[74] Zhang, Zhitao, Sun, Yimin. Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2016, 32(1): 35-54, http://dx.doi.org/10.1007/s10255-016-0545-1.[75] Zhang, Zhitao, Qi, Zexin. ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS[J]. 2015, 46(2): 717-729, https://www.webofscience.com/wos/woscc/full-record/WOS:000368961400010.[76] Tian RuShun, Zhang ZhiTao. Existence and bifurcation of solutions for a double coupled system of Schrodinger equations. SCIENCE CHINA-MATHEMATICS[J]. 2015, 58(8): 1607-1620, http://ir.amss.ac.cn/handle/2S8OKBNM/46363, http://www.irgrid.ac.cn/handle/1471x/6869196, http://ir.amss.ac.cn/handle/2S8OKBNM/46364.[77] Qi, Zexin, Zhang, Zhitao. Existence of multiple solutions to a class of nonlinear Schrodinger system with external sources terms. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2014, 420(2): 972-986, https://www.webofscience.com/wos/woscc/full-record/WOS:000340310500007.[78] Chen, Jianyi, Zhang, Zhitao. Infinitely many periodic solutions for a semilinear wave equation in a ball in R-n. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2014, 256(4): 1718-1734, https://www.webofscience.com/wos/woscc/full-record/WOS:000330204600015.[79] 张志涛. Addendum to The limit equation for the Gross-Pitaevskii equations and S. Terracini conjecture. 2013, [80] Dancer, E N, Wang, Kelei, Zhang, Zhitao. The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture (vol 262, pg 1087, 2012). JOURNALOFFUNCTIONALANALYSISnull. 2013, 264(4): 1125-1129, https://www.webofscience.com/wos/woscc/full-record/WOS:000314133700010.[81] Cheng, Xiyou, Zhang, Zhitao. Positive solutions for a class of multi-parameter elliptic systems. NONLINEARANALYSISREALWORLDAPPLICATIONS[J]. 2013, 14(3): 1551-1562, https://www.webofscience.com/wos/woscc/full-record/WOS:000315361800024.[82] Lan, K Q, Zhang, Zhitao. Nonzero positive weak solutions of systems of p-Laplace equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2012, 394(2): 581-591, https://www.webofscience.com/wos/woscc/full-record/WOS:000305717000014.[83] Dancer, E N, Wang, Kelei, Zhang, Zhitao. The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture. JOURNAL OF FUNCTIONAL ANALYSIS[J]. 2012, 262(3): 1087-1131, http://dx.doi.org/10.1016/j.jfa.2011.10.013.[84] Dancer, E N, Wang, Kelei, Zhang, Zhitao. DYNAMICS OF STRONGLY COMPETING SYSTEMS WITH MANY SPECIES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY[J]. 2012, 364(2): 961-1005, https://www.webofscience.com/wos/woscc/full-record/WOS:000300137200017.[85] Agarwal, Ravi P, Perera, Kanishka, Zhang, Zhitao. ON SOME NONLOCAL EIGENVALUE PROBLEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S[J]. 2012, 5(4): 707-714, https://www.webofscience.com/wos/woscc/full-record/WOS:000208860600002.[86] Yang, Zhilin, Zhang, Zhitao. Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications. POSITIVITY[J]. 2012, 16(4): 783-800, https://www.webofscience.com/wos/woscc/full-record/WOS:000310899300012.[87] CHENG XiYou, ZHANG ZhiTao. Positive solutions for a multi-parameter system of second-order ordinary differential equations. 中国科学:数学英文版[J]. 2011, 54(5): 959-972, http://lib.cqvip.com/Qikan/Article/Detail?id=37843091.[88] Dancer, E N, Wang, Kelei, Zhang, Zhitao. Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2011, 251(10): 2737-2769, https://www.webofscience.com/wos/woscc/full-record/WOS:000294835800004.[89] Cheng, Xiyou, Zhang, Zhitao. Existence of positive solutions for a general nonlinear eigenvalue problem. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2011, 27(3): 367-372, http://lib.cqvip.com/Qikan/Article/Detail?id=38035394.[90] Cheng XiYou, Zhang ZhiTao. Positive solutions for a multi-parameter system of second-order ordinary differential equations. SCIENCE CHINA-MATHEMATICS[J]. 2011, 54(5): 959-972, https://www.webofscience.com/wos/woscc/full-record/WOS:000290768800008.[91] Motreanu, Dumitru, Zhang, Zhitao. Constant Sign and Sign Changing Solutions for Systems of Quasilinear Elliptic Equations. SET-VALUED AND VARIATIONAL ANALYSIS[J]. 2011, 19(2): 255-269, https://www.webofscience.com/wos/woscc/full-record/WOS:000290031100004.[92] Zhang, Zhitao, Cheng, Xiyou. EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS[J]. 2011, 37(1): 103-116, https://www.webofscience.com/wos/woscc/full-record/WOS:000290820000005.[93] Wang, Kelei, Zhang, Zhitao. Some new results in competing systems with many species. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE[J]. 2010, 27(2): 739-761, http://dx.doi.org/10.1016/j.anihpc.2009.11.004.[94] Zhang, Zhitao, Wang, Kelei. On fixed point theorems of mixed monotone operators and applications. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2009, 70(9): 3279-3284, http://dx.doi.org/10.1016/j.na.2008.04.032.[95] Wang, Zhiyong, Zhang, Jihui, Zhang, Zhitao. Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2009, 70(10): 3672-3681, http://dx.doi.org/10.1016/j.na.2008.07.023.[96] Bartsch, Thomas, Wang, ZhiQiang, Zhang, Zhitao. On the Fucik point spectrum for Schrodinger operators on R-N. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS[J]. 2009, 5(2): 305-317, https://www.webofscience.com/wos/woscc/full-record/WOS:000268726400007.[97] Zhang, Jihui, Zhang, Zhitao. Existence results for some nonlinear elliptic systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2009, 71(7-8): 2840-2846, http://dx.doi.org/10.1016/j.na.2009.01.158.[98] Zhang, Zhitao, Wang, Kelei. Existence and non-existence of solutions for a class of Monge-Ampere equations. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2009, 246(7): 2849-2875, https://www.webofscience.com/wos/woscc/full-record/WOS:000264572500013.[99] Zhitao Zhang, Kelei Wang. Existence and non-existence of solutions for a class of Monge–Ampère equations. JOURNAL OF DIFFERENTIAL EQUATIONS. 2009, 2849-2875, http://dx.doi.org/10.1016/j.jde.2009.01.004.[100] Xu, Bin, Zhang, Zhitao. Positive almost periodic solutions of some neutral integral equation. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS[J]. 2009, 71(1-2): 141-148, http://dx.doi.org/10.1016/j.na.2008.10.035.[101] Cheng, Xiyou, Zhang, Zhitao. EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS[J]. 2009, 34(2): 267-277, [102] Yang, Yang, Zhang, Jihui, Zhang, Zhitao. Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets. BOUNDARY VALUE PROBLEMS[J]. 2008, https://doaj.org/article/8b74a32e57d749c1915ef09949018c3f.[103] Bartsch, Thomas, Peng, Shuangjie, Zhang, Zhitao. Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS[J]. 2007, 30(1): 113-136, https://www.webofscience.com/wos/woscc/full-record/WOS:000247271800005.[104] Perera, K, Zhang, ZT. Nontrivial solutions of Kirchhoff-type problems via the Yang index. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2006, 221(1): 246-255, http://dx.doi.org/10.1016/j.jde.2005.03.006.[105] 韦忠礼, 张志涛. 超线性奇异边值问题正解存在的充分必要条件. 数学学报[J]. 2005, 48(1): 25-, http://lib.cqvip.com/Qikan/Article/Detail?id=11468574.[106] 张志涛. Elliptic equations in $\Bbb R^2$ with one-sided exponential growth. Commun. Contemp. Math.. 2004, [107] 张志涛. Construction of pseudo-gradient vector field and sign-changing multiple solutions involving $p$p-Laplacian.. J. Differential Equations. 2004, [108] Zhang, ZT, Li, SJ. On sign-changing and multiple solutions of the p-Laplacian. JOURNAL OF FUNCTIONAL ANALYSIS[J]. 2003, 197(2): 447-468, http://dx.doi.org/10.1016/S0022-1236(02)00103-9.[109] Zhang, ZT, Li, XD. Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2002, 178(2): 298-313, http://dx.doi.org/10.1006/jdeq.2001.4015.[110] Dancer, EN, Zhang, ZT. Dynamics of Lotka-Volterra competition systems with large interaction. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2002, 182(2): 470-489, http://dx.doi.org/10.1006/jdeq.2001.4102.[111] 李树杰, 张志涛. 跳跃非线性条件下椭圆边值问题的变号解和多解存在性. 数学学报[J]. 2001, 44(3): 507-, http://ir.amss.ac.cn/handle/2S8OKBNM/49155, http://www.irgrid.ac.cn/handle/1471x/6869233, http://ir.amss.ac.cn/handle/2S8OKBNM/49156.[112] Shujie Li, Zhitao Zhang. Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity. SCIENCE IN CHINA SERIES. 2001, 44(7): http://kns.cnki.net/KCMS/detail/detail.aspx?QueryID=0&CurRec=1&recid=&FileName=SSJD00000031773&DbName=SSJD_01&DbCode=SSJD&yx=&pr=&URLID=&bsm=.[113] 张志涛. 一类半线性椭圆方程正解的唯一性. 数学学报[J]. 2001, 44(6): 1127-, http://lib.cqvip.com/Qikan/Article/Detail?id=5744083.[114] 李树杰, 张志涛. 跳跃非常线性条件下椭圆边值问题的变号解和多解存在性. 数学学报[J]. 2001, 44(3): 507-516, http://lib.cqvip.com/Qikan/Article/Detail?id=5330045.[115] 张志涛. existenceofnontrivialsolutionforsuperlinearsystemofintegralequationsanditsapplications. ACTAMATHEMATICAEAPPLICATAESINICA[J]. 1999, 15(2): 153-, http://ir.amss.ac.cn/handle/2S8OKBNM/45327, http://www.irgrid.ac.cn/handle/1471x/6869185, http://ir.amss.ac.cn/handle/2S8OKBNM/45328.[116] 张志涛. banach空间脉冲fredholm型积分方程的多解存在性. 高校应用数学学报A辑[J]. 1999, 14A(3): 273-, http://lib.cqvip.com/Qikan/Article/Detail?id=3642650.[117] 张志涛. 混合单调算子的不动点定理及其应用. 数学学报[J]. 1998, 41(6): 1121-, http://lib.cqvip.com/Qikan/Article/Detail?id=3241115.[118] 张志涛. Banach空间二阶非线性脉冲型微分方程两点边值问题的多解存在性. 数学物理学报:A辑[J]. 1996, 16(3): 300-, http://lib.cqvip.com/Qikan/Article/Detail?id=4532856.[119] 张志涛. 混合单调算子的正不动点存在唯一性定理及应用的推广. 山东大学学报:自然科学版[J]. 1995, 30(4): 384-, http://lib.cqvip.com/Qikan/Article/Detail?id=1858672.