REGULARITY FOR ENTROPY SOLUTIONS TO DEGENERATE ELLIPTIC EQUATIONS WITH A CONVECTION TERM-Reference-Cited by-同舟云学术

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REGULARITY FOR ENTROPY SOLUTIONS TO DEGENERATE ELLIPTIC EQUATIONS WITH A CONVECTION TERM

Published:2023-10-01 Issue:5 Volume:53 Page:
ISSN:0035-7596
Container-title:Rocky Mountain Journal of Mathematics
language:
Short-container-title:Rocky Mountain J. Math.

Author:

Hongya Gao,Aiping Zhang,Miaomiao Huang

Publisher

Rocky Mountain Mathematics Consortium

Subject

General Mathematics

Reference38 articles.

1. [1] A. Alvino, L. Boccardo, V. Ferone, L. Orsina, and G. Trombetti, “Existence results for nonlinear elliptic equations with degenerate coercivity”, Ann. Mat. Pura Appl. (4) 182:1 (2003), 53–79.

2. [2] P. Bénilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre, and J. L. Vázquez, “An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 22:2 (1995), 241–273.

3. [3] L. Boccardo, “The summability of solutions to variational problems since Guido Stampacchia”, RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 97:3 (2003), 413–421.

4. [4] L. Boccardo, G. Croce, and L. Orsina, “Nonlinear degenerate elliptic problems with $W^{1,1}_0(\Omega)$ solutions”, Manuscripta Math. 137:3-4 (2012), 419–439.

5. [5] L. Boccardo, A. Dall’Aglio, and L. Orsina, “Existence and regularity results for some elliptic equations with degenerate coercivity”, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), 51–81.

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