Published or accepted :
[17]Deng, Yinbin; He, Qihan; Pan,Yiqing; Zhong,Xuexiu The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation. Advanced Nonlinear Studies 23(2023):20220049
https://doi.org/10.1515/ans-2022-0049
[16] He, Qihan; Lv, Zongyan; Zhang, Yinmin; Zhong, Xuexiu Existence and blow up behavior of positive normalized solution to the Kirchhoff equation with general nonlinearities: Mass super-critical case. Journal of Differential Equations 356(2023), 375-406.
[15]Deng, Yinbin; Shuai, Wei; Zhong, Xuexiu Existence and concentration results for the general Kirchhoff-type equations. J. Geom. Anal. 33 (2023), no. 3, Paper No. 88, 22 pp.
[14]Guo,Zhenyu; Zhong,Xuexiu On a fractional Hardy-Sobolev inequality with two-variables, Rocky Mountain Journal, 52(2022), no.5, 1643-1660.
[13]Zhang,Jianjun ; Zhong, Xuexiu ; Zhou, Huansong Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities. Sci China Math, 2022,65, https://doi.org/10.1007/s11425-022-2049-1
[12]Zhong,Xuexiu; Zou, Wenming A new deduction of the strict sub-additive inequality and its appliaction: Ground state normalized solution to Schr\"odinger equations with potential, Differential and Integral Equations, 36(2023),no.1-2, 133-160.
[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.
[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.
[9]
Bartsch, Thomas;
Zhong, Xuexiu;
Zou, Wenming Normalized solutions for a coupled Schrödinger system.
Math. Ann. 380 (2021), no. 3-4, 1713–1740.
[8]
Zhong, X.;
Zou, W. A nonlinear elliptic PDE with multiple Hardy-Sobolev critical exponents in R N .
J. Differential Equations 292 (2021), 354–387.
[7]
Lin, Chang-Shou;
Yang, Wen;
Zhong, Xuexiu A priori estimates of Toda systems, I: the Lie algebras of A n , B n , C n and G 2 .
J. Differential Geom. 114 (2020), no. 2, 337–391.
[6]
Zhong, X.;
Zou, W. A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents.
Commun. Contemp. Math. 18 (2016), no. 4, 1550061, 26 pp.
[5]
Cerami, G.;
Zhong, X.;
Zou, W. 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.
[4]
Zhong, Xuexiu;
Zou, Wenming Critical Schrödinger systems in R N with indefinite weight and Hardy potential.
Differential Integral Equations 28 (2015), no. 1-2, 119–154.
[3]
Zhong, Xue Xiu;
Zou, Wen Ming A concentration behavior for semilinear elliptic systems with indefinite weight.
Acta Math. Sin. (Engl. Ser.) 30 (2014), no. 12, 2014–2026.
[2]
Zhong, X.;
Zou, W. Ground state and multiple solutions via generalized Nehari manifold.
Nonlinear Anal. 102 (2014), 251–263.
[1]
Zhong, X.;
Zou, W. Existence of infinitely many solutions for sublinear elliptic problems.
Glasg. Math. J. 54 (2012), no. 3, 535–545.
submitted:
-----Chen Huang, Jianjun Zhang and Xuexiu Zhong:
The existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearity.
------Peng Luo, Chang-Lin Xiang and Xuexiu Zhong:
uniqueness and nondegeneracy of positive solutions of general Kirchhoff Type Equations
-------Wenmin Liu, Xuexiu Zhong and Jinfang Zhou:
Normalized solution for the General Kirchhoff Type Equations.
-------Hui Zhang, Minbo Yang, Jianjun Zhang and Xuexiu Zhong:
Localized semiclassical states for Hamiltonian elliptic systems in dimension two.
-------Leilei Cui, Qihan He, Zongyan Lv and Xuexiu Zhong：
Normalized solutions for a Kirchhoff type equations with potential in R^3
------Xiaoyu Zeng, Jianjun Zhang, Yimin Zhang and Xuexiu Zhong: Positive normalized solution to the Kirchhoff equation with general nonlinearities.
----- L.~Jeanjean, J.~J.~Zhang and X.~X.~Zhong:A global branch approach to normalized solutions for the Schr\"odinger equation. arXiv e-prints, 2021.
arXiv:2112.05869v2
----- Yinbin Deng, Qihan He and Xuexiu Zhong: Ground state normalized solution to Schr\"odinger systems with general nonlinearities and potentials. arXiv:2107.12570v2
---- Zhen Chen, Xuexiu Zhong and Wenming Zou: Normalized solutions for nonlinear Schr\"odinger systems with special mass-mixed terms: The linear couple case.arXiv:2107.12564v2
Others (vailable on the Internet ):
[6]Xuexiu Zhong and Wenming Zou: On coupled Schr\”odinger systems with double critical exponents and indefinite weights, arXiv:1503.08917
[5]Xuexiu Zhong and Wenming Zou: Existence of extremal functions for a family of Caffarelli-Kohn-Nirenberg inequalities, arXiv:1504.00433
[4]Xuexiu Zhong and Wenming Zou: On Elliptic Systems involving critical Hardy-Sobolev exponents (Part II), arXiv:1504.02939
[3]Xuexiu Zhong and Wenming Zou: On Elliptic Systems involving critical Hardy-Sobolev exponents (Part I), arXiv: 1504.01005v1
[2]Xuexiu Zhong and Wenming Zou: On Elliptic Equations and Systems involving critical Hardy-Sobolev exponents (non-limit case), arXiv:1505.07392
[1] Xuexiu Zhong and Wenming Zou: On a double-variable inequality and elliptic systems involving critical Hardy-Sobolev exponents, arXiv:1711.10477
