EXISTENCE RESULTS FOR A CLASS OF NON-UNIFORMLY ELLIPTIC EQUATIONS OF p-LAPLACIAN TYPE

被引：2

作者：

Quoc-Anh Ngo ^{[1
,2
]}

机构：

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

[2] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

来源：

ANALYSIS AND APPLICATIONS | 2009年 / 7卷 / 02期

关键词：

p-Laplacian; non-uniform; elliptic; divergence form; minimum principle;

D O I：

10.1142/S0219530509001323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the existence of non-trivial weak solutions in W-0(1,p) (Omega) 1 < p < infinity, to a class of non-uniformly elliptic equations of the form -div(a(x, del u)) = lambda f(u) + mu g(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(1)(Omega), h(0)(x) >= 0, h(1)(x) >= 1 for a.e. x in Omega.

引用

页码：185 / 197

页数：13

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