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Existence and Regularity of Solution for Strongly Nonlinear p(x)-Elliptic Equation with Measure Data
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作者 hassib moulay cherif AKDIM Youssef +1 位作者 AZROUL Elhoussine BARBARA Abdelkrim 《Journal of Partial Differential Equations》 CSCD 2017年第1期31-46,共16页
The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u) =u in Ω, u = 0 on Ω, with a right-hand side measure, where Ω is a bounded open set of RN, N ... The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u) =u in Ω, u = 0 on 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 W 0 1,p(x) (Ω) in to its dual W-1,p'(x) (Ω). However the second part concerns the existence solution, of the following setting nonlinear elliptic problems A(u)+g(x,u, u) = u in Ω, u = 0 on Ω. We will give some regularity results for these solutions. 展开更多
关键词 Sobolev spaces with variable exponents strongly nonlinear p(x)-elliptic equations with measure data regularity.
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