Strongly nonlinear multivalued elliptic equations on a bounded domain

被引：21

作者：

Alves, Claudianor O. ^{[1
]}

Goncalves, Jose V. ^{[2
]}

Santos, Jefferson A. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estat, BR-58429900 Campina Grande, PB, Brazil

[2] Univ Fed Goias, Inst Matemat & Estat IME, BR-74001970 Goiania, Go, Brazil

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2014年 / 58卷 / 03期

关键词：

Quasilinear equations; Critical exponents; Non-smooth functionals; Orlicz-Sobolev; HEMIVARIATIONAL INEQUALITIES; POSITIVE SOLUTIONS; SYSTEMS; CONVERGENCE; FUNCTIONALS; EXISTENCE; GROWTH;

D O I：

10.1007/s10898-013-0052-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this work we study the existence of nontrivial solution for the following class of multivalued quasilinear problems -div(phi(vertical bar del u vertical bar)del u - b(u)u is an element of lambda partial derivative F(x, u) in Omega, u = 0 on partial derivative Omega where Omega subset of R-N is a bounded domain, n >= 2 and partial derivative F(x, u) is a generalized gradient of F(x, t)with respect to t. The main tools utilized are Variational Methods for Locally Lipschitz Functional and a Concentration Compactness Theorem for Orlicz space.

引用

页码：565 / 593

页数：29

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