Journal of Convex Analysis 21 (2014), No. 2, 317--338
Copyright Heldermann Verlag 2014
Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data
Boqiang Lv
College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China
lbq86@yahoo.com.cn
Fengquan Li
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
fqli@dlut.edu.cn
Weilin Zou
College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China
zwl267@yahoo.com.cn
[Abstract-pdf]
We prove the existence and uniqueness of renormalized solutions to a class of nonlinear elliptic equations with variable exponents and measure data in $L^{1}(\Omega)+W^{-1,p'(\cdot)}(\Omega)$.
Keywords: Nonlinear elliptic equations, variable exponents, measure data, renormalized solution, existence, uniqueness.
MSC: 35D05, 35J60, 35J70, 26D07
[ Fulltext-pdf (186 KB)] for subscribers only.