Infinitely Many Solutions for a Critical Elliptic System with Hardy Potentials and Concave Nonlinearities

被引：0

作者：

Echarghaoui, Rachid ^{[1
]}

Hatimi, Abdelouhab ^{[1
]}

Zaimi, Zakaria ^{[1
]}

机构：

[1] Ibn Tofail Univ, Fac Sci, Dept Math, B P 133, Kenitra, Morocco

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 08期

关键词：

Laplacian systems; infinitely many solutions; concave nonlinearities; hardy potentials; fountain theorem; CRITICAL SOBOLEV; EQUATIONS;

D O I：

10.1007/s00009-024-02761-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using concentration estimates, Fountain Theorem and its Dual form we prove the existence of two disjoint and infinite sets of solutions for an elliptic system which involves Hardy potential, multiple critical Sobolev exponents and concave-convex nonlinearities. The problem is considered in a bounded domain under appropriate conditions on the critical nonlinearity.

引用

页数：22

共 50 条

[1] Infinitely many solutions for fractional elliptic systems involving critical nonlinearities and Hardy potentials
Deng, Zhiying
Huang, Yisheng
RESULTS IN APPLIED MATHEMATICS, 2022, 16
[2] Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials
DongSheng Kang
ShuangJie Peng
Science China Mathematics, 2012, 55 : 2027 - 2044
[3] Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials
Wang, Li
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (12) : 1558 - 1568
[4] Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials
Kang DongSheng
Peng ShuangJie
SCIENCE CHINA-MATHEMATICS, 2012, 55 (10) : 2027 - 2044
[5] Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials
KANG DongSheng1
2School of Mathematics and Statistics
ScienceChina(Mathematics), 2012, 55 (10) : 2027 - 2044
[6] Infinitely many solutions for a double critical Sobolev problem with concave nonlinearities
Rachid Echarghaoui
Rachid Sersif
Journal of Elliptic and Parabolic Equations, 2023, 9 : 1245 - 1270
[7] Infinitely many solutions for a double critical Sobolev problem with concave nonlinearities
Echarghaoui, Rachid
Sersif, Rachid
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (02) : 1245 - 1270
[8] EXISTENCE OF INFINITELY MANY SOLUTIONS FOR DEGENERATE AND SINGULAR ELLIPTIC SYSTEMS WITH INDEFINITE CONCAVE NONLINEARITIES
Nguyen Thanh Chung
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[9] INFINITELY MANY SOLUTIONS FOR A SCHRODINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES
Sun, Mingzheng
Su, Jiabao
Zhao, Leiga
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (01) : 427 - 440
[10] Infinitely many radial solutions to elliptic problems with critical Sobolev and Hardy terms
Tang ZhongWei
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (09): : 1609 - 1618

← 1 2 3 4 5 →