Multiplicity of weak solutions for a class of nonuniformly elliptic equations of p-Laplacian type

被引：14

作者：

Toan, Hoang Quoc ^{[1
]}

Ngo, Quoc-Anh ^{[1
]}

机构：

[1] Vietnam Natl Univ, Coll Sci, Dept Math, Hanoi, Vietnam

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期

关键词：

p-Laplacian; Nonuniform elliptic equations; Multiplicity;

D O I：

10.1016/j.na.2008.02.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the multiplicity of weak solutions in W-0(1)(Omega) to a class of nonuniformly elliptic equations of the form -div(a(x, del u)), = h(x)vertical bar u vertical bar(r-1)u + g(x)vertical bar u vertical bar(s-1)u in a bounded domain Omega of R-N. Here a satisfies vertical bar a(x, xi)vertical bar <= c(0)(h(0)(x) + h(1)(x)vertical bar xi vertical bar(p-1)) for all xi is an element of R-N, a.e. x is an element of Omega, h(0) is an element of Lp/p-1(Omega,) h(1) is an element of L-loc(l)(Omega), h(1)(x) >= 1 for a.e. x in Omega, 1 < r < p - 1 < s < (Np - N + p)/(N - p). (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1536 / 1546

页数：11

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