EXISTENCE OF NONTRIVIAL SOLUTIONS FOR SINGULAR QUASILINEAR EQUATIONS WITH SIGN CHANGING NONLINEARITY

被引：0

作者：

Tyagi, Jagmohan ^{[1
]}

机构：

[1] TIFR Ctr Applicable Math, Bangalore 560065, Karnataka, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

p-Laplacian; singularity; multiple solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By an application of Bonanno's three critical point theorem, we establish the existence of a nontrivial solution to the problem -Delta(p)u = mu g(x)vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(p) + lambda a(x)f(u) in Omega, u = 0 on partial derivative Omega, under some restrictions on g, a and f for certain positive values of mu and lambda.

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页数：9

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