Necessary and sufficient conditions for the existence of nonnegative solutions of inhomogeneous p-Laplace equation

被引：8

作者：

Dai Qiuyi ^{[1
]}

Peng Lihui

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2007年 / 27卷 / 01期

基金：

中国国家自然科学基金;

关键词：

inhomogeneous p-Laplace equation; Dirichlet problem; nonnegative solution; SEMILINEAR ELLIPTIC-EQUATIONS; MULTIPLE POSITIVE SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; CRITICAL-POINT THEORY; NONEXISTENCE; REGULARITY; EXPONENT;

D O I：

10.1016/S0252-9602(07)60004-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega be a smooth bounded domain in R-n. In this article, we consider the homogeneous boundary Dirichlet problem of inhomogeneous p-Laplace equation -Delta(p)u = \u\(q-1)u + lambda f (x) on Omega, and identify necessary and sufficient conditions on Omega and f (x) which ensure the existence, or multiplicities of nonnegative solutions for the problem under consideration.

引用

页码：34 / 56

页数：23

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