Szeg\"{o}-Weinberger type inequalities for symmetric domains in simply connected space forms
Differential Geometry
2022-06-13 v2 Analysis of PDEs
Abstract
We consider the Neumann eigenvalue problem for Laplacian on a bounded multi-connected domain contained in simply connected space forms. Under certain symmetry assumptions on the domain, we prove Szeg\"{o}-Weinberger type inequalities for the first positive Neumann eigenvalues.
Keywords
Cite
@article{arxiv.2202.11047,
title = {Szeg\"{o}-Weinberger type inequalities for symmetric domains in simply connected space forms},
author = {T. V. Anoop and Sheela Verma},
journal= {arXiv preprint arXiv:2202.11047},
year = {2022}
}
Comments
This article has been accepted for publication in the Journal of Mathematical Analysis and Applications