A rigidity result for the Robin torsion problem

DOI10.1007/s12220-023-01202-3OpenAlexW4322625404MaRDI QIDQ2690650

Alba Lia Masiello, Gloria Paoli

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2209.06706

zbMATH Keywords

Laplace operatorRobin boundary conditionsrigidity resulttorsion problemTalenti comparison

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

An isoperimetric result for an energy related to the \(p\)-capacity ⋮ On a nonlinear Robin problem with an absorption term on the boundary and \(L^1\) data

Cites Work

• A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
• The Saint-Venant inequality for the Laplace operator with Robin boundary conditions
• Comparison results for elliptic and parabolic equations via Schwarz symmetrization
• Rearrangements and convexity of level sets in PDE
• Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
• Convex symmetrization and applications
• Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities
• Sharp estimates for solutions to elliptic problems with mixed boundary conditions
• Comparison results for solutions to \(p\)-Laplace equations with Robin boundary conditions
• Some properties of the torsion function with Robin boundary conditions
• Comparison results for solutions to the anisotropic Laplacian with Robin boundary conditions
• Sets of Finite Perimeter and Geometric Variational Problems
• A remark on comparison results via symmetrization
• Direct methods in the calculus of variations
• A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions
• Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions
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