Shape optimization for a nonlinear elliptic problem related to thermal insulation

DOI10.4171/RLM/1035MaRDI QIDQ6631935

Rosa Barbato

Publication date: 3 November 2024

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

mixed boundary conditionsshape optimization\(p\)-Laplacianthermal insulation problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Optimization of shapes other than minimal surfaces (49Q10) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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
• An optimal insulation problem
• Shape optimization of a thermal insulation problem
• Variational methods in shape optimization problems
• Windows of given area with minimal heat diffusion
• Two Optimization Problems in Thermal Insulation
• Convex Bodies The Brunn-MinkowskiTheory

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