Higher integrability of the gradient for the thermal insulation problem

DOI10.4171/IFB/481zbMath1526.35336arXiv2101.09692WikidataQ113692001 ScholiaQ113692001MaRDI QIDQ6166034

Emmanouil Milakis, Camille Labourie

Publication date: 2 August 2023

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09692

zbMATH Keywords

free boundary problemsthermal insulationhigher integrability

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Regularity improvement for the minimizers of the two-dimensional Griffith energy

Cites Work

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• Shape optimization problems with Robin conditions on the free boundary
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• Higher integrability for minimizers of the Mumford-Shah functional
• Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional
• A free boundary problem related to thermal insulation: flat implies smooth
• Regularity for fully nonlinear elliptic equations with oblique boundary conditions
• Monotonicity formula and regularity for general free discontinuity problems
• A free boundary problem related to thermal insulation
• NOTE ON LOCAL BOUNDEDNESS FOR WEAK SOLUTIONS OF NEUMANN PROBLEM FOR SECOND-ORDER ELLIPTIC EQUATIONS
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• The calibration method for the thermal insulation functional

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