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
收藏
页码：34 / 56
页数：23
相关论文
共 50 条
12345