,Existence and Regularity of Solution for Strongly Nonlinear p(x)-Elliptic Equation with Measure Dat

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The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u) =μ in Ω,u =0 on (б)Ω,with a right-hand side measure,where Ω is a bounded open set of RN,N≥2 and A(u) =-div(a(x,u,▽u)) is a Leray-Lions operator defined from W1,p(x)0 (Ω) in to its dual W-1,p’(x) (Ω).However the second part concs the existence solution,of the following setting nonlinear elliptic problems A(u)+g(x,u,▽u) =μ in Ω,u =0 on (б)Ω.We will give some regularity results for these solutions.
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