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

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-10-01

Journal: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Included Journals: Scopus、SCIE

Volume: 58

Issue: 10

Page Number: 1431-1447

ISSN: 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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