Existence of Renormalized Solutions of Nonlinear Elliptic Problems in Weighted Variable-Exponent Space  

作　　者：Youssef Akdim Chakir Allalou 

机构地区：[1]Laboratoir LSI, Faculté polydisciplinaire, Taza Gare B.P.1223, Taza Maroc

出　　处：《Journal of Mathematical Study》2015年第4期375-397,共23页数学研究（英文）

摘　　要：In this article,we study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion b(u)−div(a(x,Du)+F(u))∋f in W where f∈L1(W).A vector field a(.,.)is a Carath´eodory function.Using truncation techniques and the generalized monotonicity method in the framework of weighted variable exponent Sobolev spaces,we prove existence of renormalized solutions for general L1-data.

关 键 词：Weighted variable exponent Sobolev spaces TRUNCATIONS Young’s Inequality elliptic operators 

分 类 号：O17[理学—数学]