A CLASS OF QUASILINEAR ELLIPTIC HEMIVARIATIONAL INEQUALITY PROBLEMS ON UNBOUNDED DOMAINS

被引：2

作者：

Xi, Lijing ^{[1
,2
]}

Zhou, Yuying ^{[1
]}

Huang, Yisheng ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

[2] Suzhou Univ Sci & Technol, Dept Math & Phys, Suzhou 215009, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2014年 / 10卷 / 03期

关键词：

Local linking; coercive; (PS)-condition; inclusive mapping; projective operator; MULTIPLE SOLUTIONS;

D O I：

10.3934/jimo.2014.10.827

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we are concerned with the existence of solutions of a class of quasilinear elliptic hemivariational inequalities on unbounded domains. This kind of problems is more delicate due to the lack of compact embedding of the Sobolev spaces. By using the Clarke generalized directional derivatives for locally Lipschitz functions and some nonlinear function analysis techniques, such as the Ky Fan theorem for multivalued mappings, the theorem of finite intersection property, etc, we obtain the existence of solutions of the quasilinear elliptic hemivariational inequalities. Unlike those methods used in the references mentioned in this paper, we treat the case of unbounded domain by using the approximation of bounded domains.

引用

页码：827 / 837

页数：11

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