A free boundary problem related to thermal insulation: flat implies smooth

DOI10.1007/S00526-019-1509-0zbMath1410.35290arXiv1511.05949OpenAlexW2963515686WikidataQ128135822 ScholiaQ128135822MaRDI QIDQ1737585

Dennis Kriventsov

Publication date: 23 April 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05949

zbMATH Keywords

regularityhyperplanesfree boundary value problemlocally smooth free boundarysmooth graphs

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Shape optimization of a thermal insulation problem ⋮ Existence and regularity of optimal shapes for spectral functionals with Robin boundary conditions ⋮ The calibration method for the thermal insulation functional ⋮ Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian ⋮ Higher integrability of the gradient for the thermal insulation problem

Cites Work

• Singular sets of minimizers for the Mumford-Shah functional
• On the first variation of a varifold
• A free boundary problem related to thermal insulation
• $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
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