Existence, stability and approximation of solutions for a certain class of nonlinear BVPs

被引：3

作者：

Galewski, Marek ^{[1
]}

机构：

[1] Univ Lodz, Fac Math, PL-90238 Lodz, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 65卷 / 01期

关键词：

duality; variational method; stability of solutions; finite dimensional approximation;

D O I：

10.1016/j.na.2005.09.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of solutions, their stability and numerical approximations for elliptic Dirichlet problems with some general growth conditions. We consider an abstract family of equations for which we derive a new variational method to obtain existence and stability results which a further applied to concrete problems. Galerkin type approximations are also obtained. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：159 / 174

页数：16

共 22 条

[1]

[Anonymous], B CLASSE SCI ACAD RO

[2] A strongly nonlinear elliptic equation having natural growth terms and L1 data [J].