Sharp estimates for solutions to elliptic problems with mixed boundary conditions

DOI10.1016/j.matpur.2020.12.003zbMath1473.35114arXiv2009.04320OpenAlexW3111650455MaRDI QIDQ2048456

Cristina Trombetti, Carlo Nitsch, Francesco Chiacchio, Angelo Alvino

Publication date: 6 August 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04320

zbMATH Keywords

symmetrizationPoisson's equationmixed boundary conditionsRobin boundary condition

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (11)

PDE comparison principles for Robin problems ⋮ Comparison results for solutions to \(p\)-Laplace equations with Robin boundary conditions ⋮ Some properties of the torsion function with Robin boundary conditions ⋮ Extremizing temperature functions of rods with Robin boundary conditions ⋮ Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions ⋮ Weighted symmetrization results for a problem with variable Robin parameter ⋮ Some applications of the chambers isoperimetric inequality ⋮ On the symmetric rearrangement of the gradient of a Sobolev function ⋮ A rigidity result for the Robin torsion problem ⋮ An optimization problem in thermal insulation with Robin boundary conditions ⋮ Comparison results for Poisson equation with mixed boundary condition on manifolds

Cites Work

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• Convex symmetrization and applications
• A Faber-Krahn inequality for Robin problems in any space dimension
• Optimizing the first eigenvalue of some quasilinear operators with respect to boundary conditions
• A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions

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