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

Date

2022-02-21

Authors

Bahoura, Samy Skander

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Blow-up, Compactness, Boundary, Elliptic equation, Lipschitz condition, Starshaped, Domain

Citation

Bahoura, S. S. (2022). Compactness of the set of solutions to elliptic equations in 2 dimensions. <i>Electronic Journal of Differential Equations, 2022</i>(14), pp. 1-10.

Rights

Attribution 4.0 International

Rights Holder

Rights License