An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole
From MaRDI portal
Publication:2685163
DOI10.2140/pjm.2022.320.241OpenAlexW3133664276MaRDI QIDQ2685163
Gloria Paoli, Rossano Sannipoli, Gianpaolo Piscitelli, Nunzia Gavitone
Publication date: 20 February 2023
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05980
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Length, area, volume, other geometric measure theory (28A75)
Related Items (3)
On a Steklov-Robin eigenvalue problem ⋮ The p–Laplace “Signature” for Quasilinear Inverse Problems with Large Boundary Data ⋮ Some recent developments on the Steklov eigenvalue problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral optimization for the Stekloff-Laplacian: The stability issue
- Characterizations of Sobolev functions that vanish on a part of the boundary
- Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
- Some isoperimetric inequalities for membrane frequencies and torsional rigidity
- Bounds for the Steklov eigenvalues
- A weighted isoperimetric inequality and applications to symmetrization
- A quantitative Weinstock inequality for convex sets
- Weinstock inequality in higher dimensions
- On the first Steklov-Dirichlet eigenvalue for eccentric annuli
- On eigenvalue problems related to the Laplacian in a class of doubly connected domains
- Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
- Extreme principles and isoperimetric inequalities for some mixed problems of Stekloff's type
- Shape optimization for the Steklov problem in higher dimensions
- A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle
- A Lower Bound for the First Steklov Eigenvalue on a Domain
- Sets of Finite Perimeter and Geometric Variational Problems
- Eigenvalue inequalities for mixed Steklov problems
- On two functionals connected to the Laplacian in a class of doubly connected domains
- Stability and instability issues of the Weinstock inequality
- The Lp Minkowski problem for q-capacity
- Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue
- Convex Bodies The Brunn-MinkowskiTheory
- Lower Bounds for Stekloff and Free Membrane Eigenvalues
- Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes
This page was built for publication: An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole
