EXISTENCE OF SOLUTIONS TO P-LAPLACE EQUATIONS WITH LOGARITHMIC NONLINEARITY

被引：0

作者：

Mo, Jing ^{[1
]}

Yang, Zuodong ^{[2
,3
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210097, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210097, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Coll Zhongbei, Nanjing 210046, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年

基金：

中国国家自然科学基金;

关键词：

Existence; logarithmic nonlinearity; supersolution; subsolution; LINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EIGENVALUE; REGULARITY; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the the nonlinear elliptic equation -div(vertical bar del u vertical bar(p-2)del u) - log u(p-1) + lambda f(x, u) in a bounded domain Omega subset of R-N with N >= 1 and u = 0 on partial derivative Omega. By means of a double perturbation argument, we obtain a nonnegative solution.

引用

页数：10

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