The spectrum of the p-Laplacian with singular weight

被引：4

作者：

Montenegro, Marcelo ^{[1
]}

Lorca, Sebastian ^{[2
]}

机构：

[1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP, Brazil

[2] Univ Tarapaca, Inst Alta Invest, Arica, Chile

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 09期

基金：

巴西圣保罗研究基金会;

关键词：

Nonlinear eigenvalue problem; p-Laplacian; Singular weight; Indefinite weight; QUASILINEAR ELLIPTIC-EQUATIONS; 1ST EIGENVALUE; INDEFINITE WEIGHT; INEQUALITIES; SIMPLICITY;

D O I：

10.1016/j.na.2012.01.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the Hardy-Sobolev inequality to characterize the first eigenvalue lambda(1) of the p-Laplacian witsh singular weight. In some cases it is shown that lambda(1) is positive simple, isolated and has a nonnegative corresponding eigenfunction phi(1). Higher eigenvalues, in particular the second one, are also determined. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3746 / 3753

页数：8

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