Existence of positive solutions for elliptic systems with nonstandard p(x)-growth conditions via sub-supersolution method

摘要

We mainly consider the system {-△p(x)u=f(v) in Ω, -△p(x)v=g(u) in Ω, u=v=0 on OΩ, where p(x)∈C1(RN) is a radial symmetric function which satisfies sup|▽p(x)|<∞ and 1