Existence of positive solutions for (p(x), q(x)) Laplacian system

被引：0

作者：

Ala, Samira ^{[1
]}

Afrouzi, Ghasem Alizadeh ^{[2
]}

Niknam, Asadollah ^{[3
]}

机构：

[1] IAU, Sci & Res Branch, Dept Math, Tehran, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[3] Ferdowsi Univ Mashhad, Dept Math, Mashhad, Iran

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2014年 / 57卷 / 02期

关键词：

Positive solutions; p(x)-Laplacian Problems; sub-supersolution; VARIABLE EXPONENT; FUNCTIONALS; REGULARITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the system of differential equations [GRAPHICS] , where Omega subset of R-N is a bounded domain with C-2 boundary partial derivative Omega, 1 < p(x), q(x) is an element of C-1(<(Omega)over bar>) can are functions, the operator Delta(p(x))u = div(vertical bar del u vertical bar(p(x))(-2)del u) is called p(x)-Laplacian lambda(l), lambda(2), mu(1) and mu(2) are positive parameters and g,c are continuous functions and f,h,a,b are C-1 nondecreasing functions satisfying f(0), h(0), a(0),-b(0) >= 0. We discuss the existence of positive solution via sub-super solutions.

引用

页码：153 / 162

页数：10

共 13 条

[1] Regularity results for a class of functionals with non-standard growth [J].