A VARIATIONAL METHOD FOR FUNCTIONALS DEPENDING ON EIGENVALUES
Résumé
We perform a systematic variational method for functionals depending on eigenvalues of Riemannian manifolds. It is based on a new concept of Palais Smale sequences that can be constructed thanks to a generalization of classical min-max methods on C 1 functionals to locally-Lipschitz functionals. We prove convergence results on these Palais-Smale sequences emerging from combinations of Laplace eigenvalues or combinations of Steklov eigenvalues in dimension 2.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)