New Examples of Extremal Domains for the First Eigenvalue of the Laplace–Beltrami Operator in a Riemannian Manifold with Boundary

DOI10.1093/imrn/rnu211zbMath1329.58025arXiv1406.5167OpenAlexW2964276467WikidataQ115273208 ScholiaQ115273208MaRDI QIDQ3196594

Pieralberto Sicbaldi, Jimmy Lamboley

Publication date: 29 October 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5167

zbMATH Keywords

first eigenvaluevolume constraintDirichlet Laplacianboundary edge problem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones ⋮ Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold ⋮ Isoperimetric cones and minimal solutions of partial overdetermined problems

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