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arXiv · 2202.11047

Szeg\"{o}-Weinberger type inequalities for symmetric domains in simply connected space forms

T. V. Anoop·Sheela Verma
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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 $n$ positive Neumann eigenvalues.

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T. V. Anoop, Sheela Verma. 2022-02-22. Szeg\"{o}-Weinberger type inequalities for symmetric domains in simply connected space forms. https://arxiv.org/abs/2202.11047

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