ON SECOND ORDER ELLIPTIC EQUATIONS AND VARIATIONAL INEQUALITIES WITH ANISOTROPIC PRINCIPAL OPERATORS

被引：0

作者：

Le, Vy Khoi ^{[1
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2014年 / 44卷 / 01期

关键词：

Anisotropic Orlicz-Sobolev space; variational inequality; inclusion; multivalued mapping; NON-NEWTONIAN FLUIDS; EXISTENCE; SUPERSOLUTIONS; THEOREM; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is about boundary value problems of the form {-div[del Phi(del u)] = f(x, u) in Omega, u = 0 on partial derivative Omega, where Phi is a convex function of xi is an element of R-N, rather than a function of the norm vertical bar xi vertical bar. The problem is formulated appropriately in an anisotropic Orlicz-Sobolev space associated with Phi. We study the existence of solutions and some other properties of the above problem and its corresponding variational inequality in such space.

引用

页码：41 / 72

页数：32

共 47 条

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