Faber-Krahn inequalities for the Robin Laplacian on bounded domain in Riemannian manifolds

DOI10.1016/j.jde.2022.07.022zbMath1502.53060OpenAlexW4288080348MaRDI QIDQ2168026

Qing-Ming Cheng, Haizhong Li, Da-Guang Chen

Publication date: 31 August 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.07.022

zbMATH Keywords

eigenvalueisoperimetric inequalityFaber-Krahn inequalityRobin Laplacian

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Related Items (2)

Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds ⋮ Comparison results for filtration equations on manifolds via Schwarz rearrangements

Cites Work

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• Inégalités isopérimétriques et applications
• The Robin Laplacian—Spectral conjectures, rectangular theorems
• 4 The Robin problem
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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