Eigenvalue problems with indefinite weight

被引：0

作者：

Szulkin, A ^{[1
]}

Willem, M

机构：

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

[2] Univ Catholique Louvain, Inst Math Pure & Appl, B-1348 Louvain, Belgium

来源：

STUDIA MATHEMATICA | 1999年 / 135卷 / 02期

关键词：

eigenvalue problem; Laplacian; p-Laplacian; indefinite weight;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the linear eigenvalue problem -Delta u = lambda V(x)u, u is an element of D-0(1,2)(Omega), and its nonlinear generalization -Delta(p)u = lambda V(x)\u\(p-2)u, u is an element of D-0(1,p)(Omega). The set Omega need not be bounded, in particular, Omega = R-N is admitted. The weight function V may change sign and may have singular points. We show that there exists a sequence df eigenvalues lambda(n) --> infinity.

引用

页码：191 / 201

页数：11

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