The Fredholm alternative for the p-Laplacian in exterior domains

被引：5
|
作者：
Drabek, Pavel [1 ]
Ho, Ky [2 ]
Sarkar, Abhishek [3 ]
机构：
[1] Univ West Bohemia, Dept Math, Univ 8, Plzen 30614, Czech Republic
[2] Nong Lam Univ, Linh Trung Ward, Fac Sci, Dept Math, Ho Chi Minh City, Vietnam
[3] Univ West Bohemia, NTIS, Tech 8, Plzen 30614, Czech Republic
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 174卷
关键词：
p-Laplacian; Fredholm alternative; The first eigenvalue; Exterior domain; Variational method; ELLIPTIC-EQUATIONS; PRINCIPAL EIGENVALUE; MAXIMUM PRINCIPLE; 1ST EIGENVALUE; OPERATOR;
D O I：
10.1016/j.na.2018.04.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the Fredholm alternative for the p-Laplacian in an exterior domain which is the complement of the closed unit ball in R-N (N >= 2). By employing techniques of Calculus of Variations we obtain the multiplicity of solutions. The striking difference between our case and the entire space case is also discussed. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：17 / 53
页数：37
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