INFINITELY MANY SOLUTIONS FOR NON-HOMOGENEOUS NEUMANN PROBLEMS IN ORLICZ-SOBOLEV SPACES

被引：1

作者：

Shokooh, Saeid ^{[1
]}

Afrouzi, Ghasem A. ^{[2
]}

Graef, John R. ^{[3
]}

机构：

[1] Gonbad Kavous Univ, Fac Sci, Dept Math, Gonbad Kavous, Iran

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

[3] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 04期

关键词：

Boundary value problem; variational methods; sequences of solutions; Orlicz-Sobolev spaces; Neumann problem; ELLIPTIC PROBLEM;

D O I：

10.1515/ms-2017-0151

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using variational methods and critical point theory in an appropriate Orlicz-Sobolev setting, the authors establish the existence of infinitely many non-negative weak solutions to a non-homogeneous Neumann problem. They also provide some particular cases and an example to illustrate the main results in this paper. (C) 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：867 / 880

页数：14

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