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
收藏
页码：3746 / 3753
页数：8
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