Fundamental gaps of spherical triangles

DOI10.1007/s10455-021-09797-yzbMath1491.35300arXiv2009.00229OpenAlexW3197549213MaRDI QIDQ2076528

Xuwen Zhu, Guofang Wei, Shoo Seto

Publication date: 22 February 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00229

zbMATH Keywords

Dirichlet boundary conditionspherical triangleeigenvalues of Dirichlet Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inequalities and extremum problems in real or complex geometry (51M16) PDEs on manifolds (35R01)

Related Items (1)

Shape optimization for the Laplacian eigenvalue over triangles and its application to interpolation error analysis

Cites Work

• Unnamed Item
• Numerical determination of the fundamental eigenvalue for the Laplace operator on a spherical domain
• The fundamental gap of simplices
• Sharp fundamental gap estimate on convex domains of sphere
• Über die asymptotische Verteilung der Eigenwerte des Laplace-Operators für Gebiete auf der Kugeloberfläche
• Proof of the fundamental gap conjecture
• Fundamental Gap of Convex Domains in the Spheres
• Functional determinants on spheres and sectors

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