The smoothness of the free boundary for a class of vector-valued problems

DOI10.1080/03605308908820641zbMath0694.35220OpenAlexW2089255174MaRDI QIDQ3469631

Fuchs, Martin

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820641

zbMATH Keywords

obstacle problemsfree boundaryfinite perimeterDirichlet's integral

Mathematics Subject Classification ID

Related Items (4)

Optimal regularity for the Signorini problem and its free boundary ⋮ Hölder continuity of the gradient for degenerate variational inequalities ⋮ p-harmonic obstacle problems. I: Partial regularity theory ⋮ Optimal regularity and free boundary regularity for the Signorini problem

Cites Work

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• Variational problems with non-convex obstacles and an integral constraint for vector-valued functions
• Some remarks on the boundary regularity for minima of variational problems with obstacles
• On minima of variational problems with some nonconvex constraints
• A note on removable singularities for minima of certain vector-valued obstacle problems
• An elementary partial regularity proof for vector-valued obstacle problems
• The regularity of free boundaries in higher dimensions
• Variational inequalities for vector-valued functions with non-convex obstacles
• A regularity theorem for energy minimizing maps of riemannian manifolds

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