一类带临界指数的 Schrödinger-Newton 系统正解的存在性

Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (5): 1373-1381.

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Existence of Positive Solutions for a Class of Schrödinger-Newton Systems with Critical Exponent

Cheng Qingfang¹,Liao Jiafeng^1,^2,^*(),Yuan Yanxiang³

¹School of Mathematics and Information, China West Normal University, Sichuan Nanchong 637009
²College of Mathematics Education, China West Normal University, Sichuan Nanchong 637009
³School of Mathematics and Statistics, Qiannan Normal University for Nationaliyies, Guizhou Duyun 558000

Received:2022-09-05 Revised:2023-04-10 Online:2023-10-26 Published:2023-08-09
Contact: Jiafeng Liao E-mail:liaojiafeng@163.com
Supported by:
Natural Science Foundation of Sichuan(2023NSFSC0073);Fundamental Research Funds of China West Normal University(18B015);Young Science and Technology Scholars of Guizhou Provincial Department of Education (KY2016316)

Abstract

CLC Number:

O177.91

Cheng Qingfang,Liao Jiafeng,Yuan Yanxiang. Existence of Positive Solutions for a Class of Schrödinger-Newton Systems with Critical Exponent[J].Acta mathematica scientia,Series A, 2023, 43(5): 1373-1381.

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References

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[4]	Lei C Y, Liu G S. Multiple positive solutions for a Schr?dinger-Newton system with sign-changing potential. Computers and Mathematics with Applications, 2019, 77(3): 631-640
[5]	Zhang J F, Guo W, Chu C M, Suo H M. Existence of solutions for a Schr?dinger-Poisson system with critical nonlocal term and general nonlinearity. Journal of Function Spaces, 2020, 2020: 2197207
[6]	Zhang J F, Lei C Y, Guo L T. Positive solutions for a nonlocal Schr?dinger-Newton system involving critical nonlinearity. Computers and Mathematics with Applications, 2018, 76(8): 1966-1977
[7]	Lei C Y, Suo H M, Chu C M. Multiple positive solutions for a Schr?dinger-Newton system with singularity and critical growth. Electronic Journal of Differential Equations, 2018, 2018(86): 1-15
[8]	Brézis H, Liéb E. A relation between pointwise convergence of functions and convergence of functionals. Proceedings of the American Mathematical Society, 1983, 88: 486-490
[9]	Tarantello G. On nonhomogeneous elliptic equations involving critical Sobolev exponent. Annales de l'Institut Henri Poincaré, Analyse Non Linéaire, 1992, 9(3): 281-304
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[11]	Wu T F. On semilinear elliptic equation involving concave-convex nonlinearities and sign-changing weight function. Journal of Mathematical Analysis and Applications, 2006, 318: 253-270

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Existence of Positive Solutions for a Class of Schrödinger-Newton Systems with Critical Exponent

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