Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions

DOI10.1007/s11118-022-09995-8zbMath1525.35092arXiv2109.10117OpenAlexW3201641116MaRDI QIDQ6072416

Francesco Chiacchio, Nunzia Gavitone, Cristina Trombetti, Carlo Nitsch

Publication date: 13 October 2023

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10117

zbMATH Keywords

Robin boundary conditionstorsional rigidityHermite operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (3)

Weighted symmetrization results for a problem with variable Robin parameter ⋮ Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds ⋮ A rigidity result for the Robin torsion problem

Cites Work

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• The Saint-Venant inequality for the Laplace operator with Robin boundary conditions
• Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes (Extreme elements for the Gaussian Brunn-Minkowski inequalities)
• The Brunn-Minkowski inequality in Gauss space
• Sharp estimates for solutions to elliptic problems with mixed boundary conditions
• The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions
• On the isoperimetric deficit in Gauss space
• On the cases of equality in Bobkov's inequality and Gaussian rearrangement

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