Infinitely many solutions for semilinear elliptic problems with sign-changing weight functions

被引：9

作者：

Jalilian, Yaghoub ^{[1
]}

Szulkin, Andrzej ^{[2
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah, Iran

[2] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 04期

基金：

瑞典研究理事会;

关键词：

elliptic problem; sign-changing weight function; infinitely many solutions; positive solution; Nehari manifold; 35J91; 35J20; 47J30; POSITIVE SOLUTIONS; INDEFINITE; EQUATION;

D O I：

10.1080/00036811.2013.816687

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the elliptic problem {-Delta u + u = a(x)|u|(p-2)u + b(x)|u|(q-2)u, u is an element of H-1 (R-N ), where 2(*) is the critical Sobolev exponent, 2 < p < q < 2(*) and a or b is a sign-changing function. Under different assumptions on a and b we prove the existence of infinitely many solutions to the above problem. We also show that one of these solutions is positive.

引用

页码：756 / 770

页数：15

共 20 条

[1] ON SEMILINEAR ELLIPTIC-EQUATIONS WITH INDEFINITE NONLINEARITIES [J].