THE EXISTENCE OF WEAK SOLUTION FOR DEGENERATE ΣΔpi(x)-EQUATION

被引：0

作者：

Agarwal, Ravi P. ^{[1
]}

Ghaeme, M. B. ^{[2
]}

Saiedinezhad, S. ^{[2
]}

机构：

[1] Florida Inst Technol, Dept Math, Melbourne, FL 32901 USA

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2011年 / 13卷 / 04期

关键词：

compact embedding; weak convergent; p(.)- Laplacian; variable exponent Sobolev space; critical point; weak solution; Palais-smale condition; Mountain Pass theorem;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Using variational methods, we establish the existence of non-trivial solution for the following generalized class of p(x)-Laplacian [GRAPHICS] where Omega is a bounded domain in R-N with smooth boundary partial derivative Omega, p(i),q(j) is an element of C((Omega) over bar), and f is a caratheodory function with some adequate assumptions. Also, we show that if we replace Omega by R-N in Problem (P), the generate equation has a weak solution. Finally, it is shown that with some adequate assumptions on f, the Problem (P) has two sequences of solution.

引用

页码：629 / 641

页数：13

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