Current position: Home >> Scientific Research >> Paper Publications

Some regularity of entropy solutions for nonlinear elliptic equations

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-02-01

Journal: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Included Journals: SCIE

Volume: 58

Issue: 2

Page Number: 281-291

ISSN: 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.

Prev One:PARTIALLY OVERDETERMINED PROBLEM IN SOME INTEGRAL EQUATIONS

Next One:NONEXISTENCE OF SOLUTIONS FOR NONLINEAR DIFFERENTIAL INEQUALITIES WITH GRADIENT NONLINEARITIES