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Some regularity of entropy solutions for nonlinear elliptic equations

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Indexed by:期刊论文

Date of Publication:2013-02-01

Journal:COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Included Journals:SCIE

Volume:58

Issue:2

Page Number:281-291

ISSN No.:1747-6933

Key Words:regularity; nonlinear elliptic equations; entropy solution; 35D10; 35J60

Abstract:In the article, the author introduces new sets of functions which are the subsets of the space introduced by Ph. Benilan, L. Boccardo, T. Gallouet, R. Gariepy, M. Pierre, J.L. Vazquez [An L1-theory of existence and uniqueness of solutions of non-linear elliptic equations, Ann. Scuola Norm. Sup. Pisa 22(2) (1995), pp. 241273] and gives some summability results of entropy solutions for nonlinear elliptic equations.

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