A Nonlocal Free Boundary Problem
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Publication:3455236
DOI10.1137/140999712zbMath1331.35398arXiv1411.7971OpenAlexW2963159785MaRDI QIDQ3455236
Ovidiu V. Savin, Enrico Valdinoci, Serena Dipierro
Publication date: 4 December 2015
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.7971
minimization problemfree boundary problemsmonotonicity formulafractional perimeterclassification of cones
Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11)
Related Items (11)
Some monotonicity results for general systems of nonlinear elliptic PDEs ⋮ Nonlocal double phase complementarity systems with convection term and mixed boundary conditions ⋮ On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results ⋮ (non)local and (non)linear free boundary problems ⋮ Continuity and density results for a one-phase nonlocal free boundary problem ⋮ Nonlocal minimal graphs in the plane are generically sticky ⋮ Classification of irregular free boundary points for non-divergence type equations with discontinuous coefficients ⋮ The obstacle problem for the infinity fractional Laplacian ⋮ New trends in free boundary problems ⋮ Finite element discretizations of nonlocal minimal graphs: Convergence ⋮ Minimal surfaces and free boundaries: Recent developments
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