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Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data

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Indexed by: Journal Article

Date of Publication: 2014-01-01

Journal: JOURNAL OF CONVEX ANALYSIS

Included Journals: SCIE

Volume: 21

Issue: 2

Page Number: 317-338

ISSN: 0944-6532

Key Words: Nonlinear elliptic equations; variable exponents; measure data; renormalized solution; existence; uniqueness

Abstract: In this paper 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,W-p'((.))(Omega).

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