Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem

摘要

In this paper we consider the existence of W01,1Ω solutions to following kind of problems ?div?up?2?u/1+uθp?1=fx,x∈Ω;ux=0,x∈?Ω where Ω is an open bounded subset of RNN2, maxp?2N+1/p?1N?1,0θ1 and 1p?1+N?1/N1?θ+θ, f is a function which belongs to a suitable integrable space.