Multiplicity result for a class of elliptic equations with singular term

被引：0

作者：

Chen, J. ^{[1
]}

Murillo, K. ^{[1
]}

Rocha, E. M. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 15期

关键词：

Variational methods; Inhomogeneous Laplacian equation; Singular term; Four solutions; Sign changing solution; EXISTENCE;

D O I：

10.1016/j.na.2012.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence of nontrivial solutions of the equation -Delta u - lambda/vertical bar x vertical bar(2) u = vertical bar u vertical bar(2)*(-2)u + mu vertical bar x vertical bar(alpha-2)u + f (x)vertical bar u vertical bar(gamma), x is an element of Omega backslash {0}, u is an element of H-0(1)(Omega), where 0 is an element of Omega is a smooth bounded domain in R-N (N >= 3). By variational methods and Nehari set techniques, we show that this problem, under some additional hypotheses on lambda > 0, mu > 0, alpha > 0, 0 <= gamma < 1 and f is an element of L-infinity (Omega), has four nontrivial solutions in H-0(1) (Omega), and that least one of them is sign-changing. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：5797 / 5814

页数：18

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