Minimisers of a fractional seminorm and nonlocal minimal surfaces

DOI10.4171/IFB/447zbMath1458.35447arXiv2002.06313OpenAlexW3111824858MaRDI QIDQ2226682

Claudia Bucur, Serena Dipierro, Luca Lombardini, Enrico Valdinoci

Publication date: 9 February 2021

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06313

zbMATH Keywords

equivalencefractional variational problemsnonlocal minimal surfacesexistence and non-uniqueness results

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (6)

Boundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and Nochetto ⋮ The stickiness property for antisymmetric nonlocal minimal graphs ⋮ Unnamed Item ⋮ New trends in free boundary problems ⋮ Local and nonlocal 1-Laplacian in Carnot groups ⋮ (Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property

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