A higher dimensional generalization of Hersch-Payne-Schiffer inequality for Steklov eigenvalues

Abstract

In this paper, we generalize the Hersch-Payne-Schiffer inequality for Steklov eigenvalues to higher dimensional case by extending the trick used by Hersch, Payne and Schiffer to higher dimensional manifolds.

7 pages

References in corpus (1)

• Spectral geometry of the Steklov problem

Cited by in corpus (2)

• Estimates for higher Steklov eigenvalues
• Trace and inverse trace of Steklov eigenvalues II