On eigenvalue problems related to the Laplacian in a class of doubly connected domains

DOI10.1007/s00605-020-01466-9zbMath1450.35201arXiv1803.05750OpenAlexW3088841561MaRDI QIDQ2204730

Yanyan Li

Publication date: 16 October 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05750

zbMATH Keywords

Neumann eigenvalue problemgeodesically symmetric domainnon-compact rank-1 symmetric spaceSteklov-Dirichlet eigenvalue problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (9)

Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms ⋮ On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content ⋮ A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle ⋮ A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue ⋮ On a Steklov-Robin eigenvalue problem ⋮ An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue ⋮ On the first Steklov-Dirichlet eigenvalue for eccentric annuli

Uses Software

• Mathematica

Cites Work

• Two functionals connected to the Laplacian in a class of doubly connected domains on rank one symmetric spaces of non-compact type
• On the extrema of Dirichlet's first eigenvalue of a family of punctured regular polygons in two dimensional space forms
• Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue
• On two functionals connected to the Laplacian in a class of doubly connected domains in space-forms
• Eigenvalue inequalities for mixed Steklov problems
• Extremal First Dirichlet Eigenvalue of Doubly Connected Plane Domains and Dihedral Symmetry
• Inequalities for the minimal eigenvalue of the laplacian in an annulus
• On two functionals connected to the Laplacian in a class of doubly connected domains
• Sharp upper bound for the first non-zero Neumann eigenvalue for bounded domains in rank-1 symmetric spaces

This page was built for publication: On eigenvalue problems related to the Laplacian in a class of doubly connected domains