An optimal insulation problem

DOI10.1007/s00208-020-02058-6zbMath1496.35189arXiv2005.11934OpenAlexW3048504119MaRDI QIDQ2134202

Francesco Della Pietra, Cristina Trombetti, Carlo Nitsch

Publication date: 6 May 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11934

zbMATH Keywords

shape optimizationminimizationthermal insulation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (6)

Shape optimization of a thermal insulation problem ⋮ An isoperimetric result for an energy related to the \(p\)-capacity ⋮ Reverse Faber-Krahn inequality for the \(p\)-Laplacian in hyperbolic space ⋮ Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary ⋮ An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes ⋮ An optimization problem in thermal insulation with Robin boundary conditions

Cites Work

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• Reinforcement problems in the calculus of variations
• Reinforcement problems for elliptic equations and variational inequalities
• Reinforcement of the principal eigenvalue of an elliptic operator
• On the optimal insulation of conductors
• An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
• Variational methods in shape optimization problems
• A free boundary problem related to thermal insulation
• Windows of given area with minimal heat diffusion
• An optimization problem in thermal insulation with Robin boundary conditions
• Two Optimization Problems in Thermal Insulation
• Convex Bodies The Brunn-MinkowskiTheory

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