Compactness of the set of solutions to elliptic equations in 2 dimensions-Reference-Cited by-同舟云学术

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Compactness of the set of solutions to elliptic equations in 2 dimensions

Published:2022-02-21 Issue:01-87 Volume:2022 Page:14
ISSN:1072-6691
Container-title:Electronic Journal of Differential Equations
language:
Short-container-title:ejde

Author:

Bahoura Samy Skander

Abstract

We study the behavior of solutions to elliptic equations in 2 dimensions. In particular, we show that the set of solutions is compact under a Lipschitz condition.

Publisher

Texas State University

Subject

Analysis

Reference20 articles.

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3. L. Boccardo, T. Gallouet; Nonlinear elliptic and parabolic equations involving measure data. J. Funct. Anal. 87 no. 1, (1989), 149-169.

4. H. Brezis, Y. Y. Li, I. Shafrir; A sup+inf inequality for some nonlinear elliptic equations involving exponential nonlinearities. J. Funct. Anal. 115 (1993), 344-358.

5. H. Brezis, M. Marcus, A. C. Ponce; Nonlinear elliptic equations with measures revisited. Mathematical aspects of nonlinear dispersive equations, 55-109, Ann. of Math. Stud., 163, Princeton Univ. Press, Princeton, NJ, 2007.

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