On the minimal solution for some variational inequalities

被引：5

作者：

Chipot, Michel ^{[1
]}

Guesmia, Senoussi ^{[2
,3
]}

Harkat, Soumia ^{[4
]}

机构：

[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[2] Qass Univ, Math Dept, Coll Sci, Buraydah, Saudi Arabia

[3] Univ Bahamas, Math Dept, Nassau, Bahamas

[4] Univ Oum El Bouaghi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 01期

关键词：

Variational inequalities; Minimal solutions; Monotone operators; Elliptic problems on domains becoming unbounded; Asymptotic behaviour; Anisotropic; BOUNDARY-VALUE-PROBLEMS; ASYMPTOTIC-BEHAVIOR; CYLINDRICAL DOMAINS; POSITIVE SOLUTIONS; EXISTENCE; SET;

D O I：

10.1016/j.jde.2018.07.052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Applying an asymptotic method, the existence of the minimal solution to some variational elliptic inequalities defined on bounded or unbounded domains is established. The minimal solution is obtained as limit of solutions to some classical variational inequalities defined on domains becoming unbounded when some parameter tends to infinity. The considered quasilinear operators are only monotone (not strictly) and noncoercive. Some related comparison principles are also investigated. (C) 2018 Published by Elsevier Inc.

引用

页码：493 / 525

页数：33

共 24 条

[1]

Adams DR, 2010, INT MAT SER, V13, P1, DOI 10.1007/978-1-4419-1345-6_1

[2] EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS [J].