Some Remarks on Robin-Laplacian Eigenvalues

Abstract

We study some properties of Laplacian eigenvalues with negative Robin boundary conditions. We will show some monotonicity properties on annuli of the first eigenvalue by means of shape optimization techniques.

arXiv comment10 pages

Cited by in corpus (1)

• Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter