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.
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页码：191 / 201
页数：11
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