Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 14, pp. 1-10.

Title: Compactness of the set of solutions to elliptic equations in 2 dimensions
       
Author: Samy Skander Bahoura (Pierre et Marie Curie Univ., Paris, France)

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.

Submitted September 4, 2021. Published February 21, 2022.
Math Subject Classifications: 35J60, 35B44, 35B45.
Key Words: Blow-up; compactness; boundary; elliptic equation; Lipschitz condition; starshaped. domain.