Published:
[1] Zhong, Xuexiu; Zou, Wenming. Existence of infinitely many solutions for sublinear elliptic problems. Glasg. Math. J. 54 (2012), no. 3, 535–545.
[2] Zhong, Xuexiu; Zou, Wenming. Ground state and multiple solutions via generalized Nehari manifold. Nonlinear Anal. 102 (2014), 251–263.
[3] Zhong, Xuexiu; Zou, Wenming. A concentration behavior for semilinear elliptic systems with indefinite weight. Acta Math. Sin. (Engl. Ser.) 30 (2014), no. 12, 2014–2026.
[4] Zhong, Xuexiu; Zou, Wenming. Critical Schrödinger systems in RN with indefinite weight and Hardy potential. Differential Integral Equations 28 (2015), no. 1-2, 119–154.
[5] Cerami, Giovanna; Zhong, Xuexiu; Zou, Wenming. On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem. Calc. Var. Partial Differential Equations 54 (2015), no. 2, 1793–1829. (representative work)
[6] Zhong, Xuexiu; Zou, Wenming. A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents. Commun. Contemp. Math. 18 (2016), no. 4, 1550061, 26 pp.
[7] Lin, Chang-Shou; Yang, Wen; Zhong, Xuexiu A priori estimates of Toda systems, I: the Lie algebras of An, Bn, Cn and G2. J. Differential Geom. 114 (2020), no. 2, 337–391. (representative work)
[8] Zhong, Xuexiu; Zou, Wenming. A nonlinear elliptic PDE with multiple Hardy-Sobolev critical exponents in RN. J. Differential Equations 292 (2021), 354–387. (representative work)
[9] Bartsch, Thomas; Zhong, Xuexiu; Zou, Wenming. Normalized solutions for a coupled Schrödinger system. Math. Ann. 380 (2021), no. 3-4, 1713–1740. (representative work)
[10] Ding, Yanheng; Zhong, Xuexiu Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case. J. Differential Equations 334 (2022), 194–215. (representative work)
[11] Wei, Juncheng; Zhong, Xuexiu; Zou, Wenming On Sirakov's open problem and related topics. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 2, 959–992. (representative work)
[12] Guo,Zhenyu; Zhong, Xuexiu. On a fractional Hardy-Sobolev inequality with two variables. Rocky Mountain Journal of Mathematics, 52 (2022), no. 5, 1643-1660.
[13] Zhong, Xuexiu; Zou, Wenming A new deduction of the strict sub-additive inequality and its application: ground state normalized solution to Schrödinger equations with potential. Differential Integral Equations 36 (2023), no. 1-2, 133–160.
[14] Deng, Yinbin; Shuai Wei; Zhong, Xuexiu. Existence and Concentration Result for the General Kirchhoff Type Equations. J. Geom. Anal. 33(2023), no.3, Paper No. 88, 22 pp.
[15] He, Qihan; Lv, Zongyan; Zhang, Yimin; Zhong, Xuexiu. Existence and blow up behavior of positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical. J. Differential Equations. (representative work)
[16] Deng, Yinbin; He, Qihan; Pan, Yiqing; Zhong, Xuexiu. The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation, Adv. Nonlinear Stud. 23(2023), no. 1, Paper No. 20220049, 22 pp.
[17] Zhang, Jianjun; Zhong, Xuexiu; Zhou, Huansong. Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities. Sci. China Math. 66(2023), no. 10, 2243-2260. (representative work)
[18] Zeng, Xiaoyu; Zhang, Jianjun; Zhang, Yimin; Zhong, Xuexiu. On the Kirchhoff equation with prescribed mass and general nonlinearities. Discrete Contin. Dyn. Syst. Ser. S 16(2023), no.11, 3394-3409.
[19] Huang, Chen; Zhang, Jianjun; Zhong, Xuexiu. Existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearities. J. Math. Anal. Appl. 531(2024), no. 1, Paper No. 127880, 25 pp.
[20] Jeanjean, Louis; Zhang, Jianjun; Zhong, Xuexiu. A global branch approach to normalized solutions for the Schrödinger equation. J. Math. Pures. Appl.(9) 183(2024), 44-75. (representative work)
[21] Kang, Yuting; Luo, Peng; Xiang, Chang-Lin; Zhong, Xuexiu. Uniqueness and nondegeneracy of positive solutions of general Kirchhoff Type Equations. Acta Mathematicae Applicatae Sinica, to appear
[22] Liu, Wenmin; Zhong, Xuexiu; Zhou, Jinfang. Normalized solutions for the General Kirchhoff Type Equations. Acta Math. Sci. Ser. B (Engl. Ed.), to appear
[23] Jeanjean, Louis; Zhang, Jianjun; Zhong, Xuexiu. Normalized ground states for a coupled Schrödinger system: Mass super-critical case. NoDEA Nonlinear Differential Equations Appl. to appear
https://www.researchgate.net/profile/Zhong_Xuexiu
钟学秀,华南师范大学 华南数学应用与交叉研究中心/数学科学学院 (scholat.com)