Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms
Thazhe Veetil Anoop, Sheela Verma · arXiv (Cornell University) · 2022
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 Szegö-Weinberger type inequalities for the first $n$ positive Neumann eigenvalues.