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Existence of weak solutions for some nonlinear elliptic equations with variable exponents

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Indexed by:期刊论文

Date of Publication:2013-10-01

Journal:COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Included Journals:SCIE、Scopus

Volume:58

Issue:10

Page Number:1431-1447

ISSN No.:1747-6933

Key Words:Nonlinear elliptic equations; L; estimates; variable exponents; weak solution; existence; Primary: 35D05; Secondary: 35J60; 35J70; 26D07

Abstract:In this article we study a class of nonlinear elliptic equations with variable exponents. We obtain an L estimate on the solutions and prove the existence of weak solutions to such problems.

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