Shape derivative of the first eigenvalue of the 1-Laplacian

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129931We compute the shape derivative of the first eigenvalue of the 1-Laplacian. As an application, we find that a ball is critical among all volume-preserving deformations.Analysis of PDEs49Q10; 35P30; 49Q20Shape derivative of the first eigenvalue of the 1-Laplaciantext