Sharp and quantitative estimates for the \(p\)-torsion of convex sets

DOI10.1007/s00030-022-00822-yzbMath1506.35100arXiv2109.14936OpenAlexW3204193367MaRDI QIDQ2680705

Yanyan Li

Publication date: 4 January 2023

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14936

zbMATH Keywords

Dirichlet problemPoisson equation\(p\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• A quantitative Weinstock inequality for convex sets
• On principal frequencies and isoperimetric ratios in convex sets
• Some inequalities involving perimeter and torsional rigidity
• Faber-Krahn inequalities in sharp quantitative form
• The sharp quantitative isoperimetric inequality
• A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle
• Sharp Bounds for the p-Torsion of Convex Planar Domains
• Sets of Finite Perimeter and Geometric Variational Problems
• A family of inequalities for convex sets
• The Stability of the Isoperimetric Inequality
• 7 Spectral inequalities in quantitative form
• Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
• Convex Bodies The Brunn-MinkowskiTheory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sharp and quantitative estimates for the \(p\)-torsion of convex sets