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.
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页数：22
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