Towards optimal gradient bounds for the torsion function in the plane

DOI10.1007/s12220-020-00553-5zbMath1477.35046arXiv1912.08376OpenAlexW3106236473MaRDI QIDQ2050604

Stefan Steinerberger, Jeremy G. Hoskins

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08376

zbMATH Keywords

gradient estimatepotential theoryBrownian motionsubharmonic functionsHermite-Hadamard inequalitymaximum shear stressSaint Venant theory

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Brownian motion (60J65) Classical linear elasticity (74B05) Maximum principles in context of PDEs (35B50) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) A priori estimates in context of PDEs (35B45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Length, area, volume, other geometric measure theory (28A75) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (2)

On concavity of solutions of the nonlinear Poisson equation ⋮ Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian

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