This approach shows convergence of Palais–Smale sequences in Riemannian manifolds, suggesting new techniques for eigenvalue analysis.
We perform a systematic variational method for functionals depending on eigenvalues of Riemannian manifolds. It is based on a new concept of Palais–Smale (PS) sequences that can be constructed thanks to a generalization of classical min‐max methods on functionals to locally Lipschitz functionals. We prove convergence results on these PS sequences emerging from combinations of Laplace eigenvalues or combinations of Steklov eigenvalues in dimension 2.
No takes yet. Share an insight, caveat, or question.
Romain Petrides (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: