EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDSArticle
Authors: Julien Roth 1
0000-0003-0880-5674
Julien Roth
1 Laboratoire d'Analyse et de Mathématiques Appliquées
We prove Reilly-type upper bounds for the first non-zero eigen-value of the Steklov problem associated with the p-Laplace operator on sub-manifolds with boundary of Euclidean spaces as well as for Riemannian products R × M where M is a complete Riemannian manifold.
Julien Roth;Abhitosh Upadhyay, 2024, New eigenvalue pinching results for Euclidean domains, Annali di Matematica Pura ed Applicata (1923 -), 10.1007/s10231-024-01485-5.