一类有界区域上p(x)-Laplace方程条件(c)的证明

The Proof of Condition(c) for a Class of p(x)-Laplace Equations on Abounded Domain

在加权变指数Lebesgue空间L^1,p(x)(Ω;|x|α(x))和加权变指数Sobolev空间W^1,p(x)(Ω;|x|^α(x))理论的基础上,得到一类有界区域上p(x)-Laplace方程满足条件(c)的一个充分条件.

In this paper,based on the basic weighted variable exponent Lebesgue space Lp^(x)(Ω)and weighted variable exponent Sobolev space W^1,p(x)(Ω),a sufficient condition of a class of p(x)-Laplace equations on abounded domain to satisfy condition(c)is given.