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

Electronic Journal of Differential Equations

article

Samy Skander Bahoura¹ 

[1] Department of Mathematics Pierre et Marie Curie University 4 Place Jussieu

关键词: Blow-up;    compactness;    boundary;    elliptic equation;    Lipschitz condition;    starshaped. domain.;   

DOI  :  10.58997/ejde.2022.14

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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.

【 授权许可】

CC BY