Existence and Localization Results for p(x)-Laplacian via Topological Methods

被引：22

作者：

Cekic, B. ^{[1
]}

Mashiyev, R. A. ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

Weak Solution; Sobolev Space; Localization Principle; Dirichlet Problem; Laplacian Operator;

D O I：

10.1155/2010/120646

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the existence of a week solution in W(0)(1,p(x)) (Omega) to a Dirichlet problem for -Delta(p(x))u = f(x, u) in Omega, and its localization. This approach is based on the nonlinear alternative of Leray-Schauder.

引用

页数：7

共 7 条

[1]

[Anonymous], 1982, MONOGR MAT

[2]

Dinca G., 2001, Portugaliae Mathematica. Nova Serie, V58, P339

[3] A fixed point method for the p(.)-Laplacian [J].

Dinca, George .

COMPTES RENDUS MATHEMATIQUE, 2009, 347 (13-14) :757-762

[4] Existence of solutions for p(x)-Laplacian Dirichlet problem [J].

Fan, XL ;

Zhang, QH .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) :1843-1852

[5] On the spaces Lp(x)(Ω) and Wm, p(x)(Ω) [J].

Fan, XL ;

Zhao, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (02) :424-446

[6]

KOVACIK O, 1991, CZECH MATH J, V41, P592

[7]

ORegan D., 2001, Series in Mathematical Analysis and Applications, V3

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