A boundary value problem associated to non-homogeneous operators in Orlicz-Sobolev spaces

被引：0

作者：

Shokooh, Saeid ^{[1
]}

机构：

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

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 08期

关键词：

D; Salvatore; Orlicz-Sobolev space; non-homogeneous differential operator; variational methods; NEUMANN PROBLEM; VARIATIONAL PRINCIPLE; MULTIPLE SOLUTIONS;

D O I：

10.1080/17476933.2018.1520849

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply a three critical points theorem of B. Ricceri to establish the existence of at least three weak solutions for a class of non-homogeneous Neumann problems. Furthermore, by using another theorem of him, we prove that an appropriate oscillating behaviour of the nonlinear term ensures the existence of infinitely many weak solutions. Our analysis is based on recent variational methods for smooth functionals defined on Orlicz-Sobolev spaces.

引用

页码：1310 / 1324

页数：15

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