Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities

被引：0

作者：

Yin, Li ^{[1
]}

Guo, Yunrui ^{[2
]}

Yang, Jing ^{[1
]}

Lu, Bibo ^{[3
]}

Zhang, Qihu ^{[1
,4
]}

机构：

[1] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China

[2] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Henan, Peoples R China

[3] Henan Polytech Univ, Sch Comp Sci & Technol, Jiaozuo 454000, Henan, Peoples R China

[4] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2010年

基金：

美国国家科学基金会; 中国博士后科学基金;

关键词：

ELLIPTIC-EQUATIONS; VARIABLE EXPONENT; REGULARITY; FUNCTIONALS;

D O I：

10.1155/2010/971268

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the following p(x)-Laplacian equations with exponential nonlinearities: -Delta(p(x))u + rho(x)e(integral(x,u)) = 0 in Omega, u(x) -> +infinity as d(x, partial derivative Omega) -> 0, where -Delta(p(x))u = -div(vertical bar del u vertical bar(p(x)) (2)del u) is called p(x)-Laplacian, rho(x) is an element of C(Omega). The asymptotic behavior of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given.

引用

页数：20

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