
Journal of Convex Analysis 21 (2014), No. 2, 317338 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 [Abstractpdf] 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 [ Fulltextpdf (186 KB)] for subscribers only. 