On the full regularity of the free boundary in a class of variational problems

DOI10.1090/S0002-9939-08-09476-8zbMath1147.35120OpenAlexW2035033748MaRDI QIDQ3518233

Arshak Petrosyan

Publication date: 7 August 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09476-8

zbMATH Keywords

Bernstein-type theoremregularity of the free boundaryimprovement of flatnessdegenerate/singular variational problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) Free boundary problems for PDEs (35R35)

Related Items (5)

On the full regularity of the free boundary for minima of Alt–Caffarelli functionals in Orlicz spaces ⋮ An optimization problem with volume constraint in Orlicz spaces ⋮ Front propagation in infinite cylinders. II: The sharp reaction zone limit ⋮ An optimization problem with volume constraint for a degenerate quasilinear operator ⋮ Bernoulli Free Boundary Problem for the Infinity Laplacian

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• A singular energy minimizing free boundary
• Global energy minimizers for free boundary problems and full regularity in three dimensions
• MINIMAL CONES, PLATEAU'S PROBLEM, AND THE BERNSTEIN CONJECTURE

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