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

math.DG

/ Authors

/ 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.

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

math.DG

/ Authors

Liangwei Yang, Chengjie Yu

/ 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.