Uniqueness of solution of Neumann problem for nonlinear elliptic equation

被引：0
|
作者：
Cianci, Paolo [1 ]
机构：
[1] Univ Catania, Dept Math, I-95124 Catania, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期
关键词：
Existence and uniqueness of solutions; Sobolev space; Nonlinear elliptic equations; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.na.2008.11.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove, under assumptions lg rho(u) concave a(x, u, xi)/rho(u) increasing in u, existence and uniqueness of solutions u is an element of W(1.p)(Omega) boolean AND L(infinity)(Omega) to equations of the form -Sigma(n)(i=1) partial derivative/partial derivative x(i) [rho(u)b(i) (x, partial derivative u/partial derivative x)] + a (x, u, partial derivative u/partial derivative x) =0 x is an element of Omega. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1196 / 1204
页数：9
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