Multiple positive solutions for a nonlinear elliptic equation in weighted Sobolev space

被引：0

作者：

Obeid, Amira ^{[1
]}

机构：

[1] Univ La Rochelle, Lab Math & Applicat, F-17000 La Rochelle, France

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2006年 / 13卷 / 02期

关键词：

weighted Sobolev space; nonlinear boundary condition; Ekeland's principle; Palais-Smale condition;

D O I：

10.36045/bbms/1148059467

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the problem (P-lambda) in the setting of a weighted Sobolev space W-1,W-p(Omega,omega), where omega is a weight function defined on the unbounded domain Omega. The study is based on the variational methods and critical point theory. We show the existence of at least two nonnegative solutions, one with negative energy, the other one with energy which changes sign at a certain value of the positive parameter lambda.

引用

页码：325 / 340

页数：16

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