EXISTENCE OF SOLUTIONS FOR A DEGENERATE QUASILINEAR ELLIPTIC SYSTEM IN BOUNDED DOMAIN

被引：0

作者：

Afrouzi, G. A. ^{[1
]}

Chung, N. T. ^{[2
]}

Mirzapour, M. ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Quang Binh Univ, Dept Math & Informat, Dong Hoi, Quang Binh, Vietnam

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2013年 / 3卷 / 01期

关键词：

Quasilinear degenerate elliptic system; Palais-Smale condition; mountain pass theorem; existence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using variational methods, we study the existence of weak solutions for the degenerate quasilinear elliptic system {-div(h(1)(x)vertical bar del u vertical bar(p-2)del u) = F-u(x, u, v) in Omega, -div(h(2)(x)vertical bar del u vertical bar(p-2)del u) = F-v(x, u, v) in Omega, u = v = 0 on partial derivative Omega, where Omega subset of RN is a smooth bounded domain, del F = (F-u, F-v) stands for the gradient of C-1-function F : Omega x R-2 -> R, the weights h, i = 1,2 are allowed to vanish somewhere, the primitive F(x, u, v) is intimately related to the first eigenvalue of a corresponding quasilinear system.

引用

页码：1 / 9

页数：9

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