Regularity of the free boundary for the two-phase Bernoulli problem
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Publication:2049896
DOI10.1007/s00222-021-01031-7zbMath1473.35664arXiv1911.02165OpenAlexW3132852566MaRDI QIDQ2049896
Guido De Philippis, Bozhidar Velichkov, Luca Spolaor
Publication date: 27 August 2021
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.02165
Smoothness and regularity of solutions to PDEs (35B65) Eigenvalue problems for linear operators (47A75) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)
Related Items (12)
Domain variation solutions for degenerate two phase free boundary problems ⋮ A vectorial problem with thin free boundary ⋮ Epsilon-regularity for the solutions of a free boundary system ⋮ On a weighted two-phase boundary obstacle problem ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022 ⋮ An overview of almost minimizers of Bernoulli-type functionals ⋮ Regularity of the optimal sets for the second Dirichlet eigenvalue ⋮ Regularity of the free boundary in the one-phase Stefan problem: a recent approach ⋮ Perturbative estimates for the one-phase Stefan problem ⋮ Free boundary regularity in the triple membrane problem ⋮ Recent results on nonlinear elliptic free boundary problems ⋮ Branch points for (almost-)minimizers of two-phase free boundary problems
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