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

作　　者：HASSIB Moulay Cherif AKDIM Youssef AZROUL Elhoussine BARBARA Abdelkrim 

机构地区：[1]Laboratory LSI, Faculty Polydisciplinary of Taza. University Sidi Mohamed Ben Abdellah, P. O. Box 1223 Taza Gare, Marocco. [2]Laboratory, LAMA, Faculty of Science dhar El Mahraz Fez. University Sidi Mohamed Ben Abdellah, P. O. Box 1796 Atlas Fez, Morocco.

出　　处：《Journal of Partial Differential Equations》2017年第1期31-46,共16页偏微分方程（英文版）

摘　　要：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.

关 键 词：Sobolev spaces with variable exponents strongly nonlinear p（x）-elliptic equations with measure data regularity. 

分 类 号：O175.29[理学—数学]