Title : ( Existence of positive solutions for variable exponent elliptic systems )
Authors: Samira Ala , Ghasem Alizadeh Afrouzi , Qihu Zhang , Asadollah Niknam ,
Full TextAbstract
Abstract We consider the system of differential equations ⎧⎨⎩ −p(x)u = λp(x)[g(x)a(u) + f (v)] in , −p(x)v = λp(x)[g(x)b(v) + h(u)] in , u = v = 0 on ∂, where Ω ⊂ ℝN is a bounded domain with C2 boundary ∂Ω, 1 < p(x) ÎC1 (¯ ) is a function. p(x)u = div (|∇u|p(x)−2∇u) is called p(x)-Laplacian. We discuss the existence of positive solution via sub-super solutions without assuming sign conditions on f(0), h(0). MSC: 35J60; 35B30; 35B40.
Keywords
, positive solutions, p(x)-Laplacian problems, sub-supersolution
@article{paperid:1028977,
author = {Samira Ala and Ghasem Alizadeh Afrouzi and Qihu Zhang and Niknam, Asadollah},
title = {Existence of positive solutions for variable exponent elliptic systems},
journal = {Boundary Value Problems},
year = {2012},
volume = {2012},
number = {1},
month = {April},
issn = {1687-2762},
pages = {1--12},
numpages = {11},
keywords = {positive solutions; p(x)-Laplacian problems; sub-supersolution},
}
%0 Journal Article
%T Existence of positive solutions for variable exponent elliptic systems
%A Samira Ala
%A Ghasem Alizadeh Afrouzi
%A Qihu Zhang
%A Niknam, Asadollah
%J Boundary Value Problems
%@ 1687-2762
%D 2012
