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math.SP2019
Generalized eigenfunctions and eigenvalues: a unifying framework for Shnol-type theorems
Siegfried Beckus, Baptiste Devyver
Let be a generalized Schrödinger operator on a domain of a non-compact connected Riemannian manifold, and a generalized eigenfunction for : that is, satisfies the eq…
math.DG2019
A new eigenvalue problem for free boundary minimal submanifolds in the unit ball
Baptiste Devyver
The purpose of the present paper is to show that the components of the unit normal of any minimal surface with free boundary in the unit ball, are eigenfunctions associated with th…