Existence of positive solutions for elliptic systems with nonstandard image-growth conditions via sub-supersolution method Original Research Article

We mainly consider the system View the MathML source{−△p(x)u=f(v)in Ω,−△p(x)v=g(u)in Ω,u=v=0on ∂Ω, Turn MathJax on where p(x)∈C1(RN)p(x)∈C1(RN) is a radial symmetric function which satisfies sup|∇p(x)|<∞sup|∇p(x)|<∞ and 1