EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS

Julien Roth (1)

1 LAMA - 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.

Domaines: Géométrie différentielle [math.DG]

Julien Roth. EXTRINSIC UPPER BOUNDS THE FIRST EIGENVALUE OF THE p-STEKLOV PROBLEM ON SUBMANIFOLDS. Communications in Mathematics, In press, Volume 30 (2022), Issue 1, pp.49-61. ⟨10.46298/cm.9282⟩. ⟨hal-02466652v2⟩