Unbounded periodic constant mean curvature graphs on calibrable Cheeger Serrin domains

DOI10.1007/s00013-023-01960-0arXiv2101.02812OpenAlexW3119020504MaRDI QIDQ6198033

Ignace Aristide Minlend

Publication date: 20 February 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02812

zbMATH Keywords

mean curvatureCheeger setsoverdetermined problemscalibrable setsSerrin domains

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25) Global differential geometry (53Cxx)

Cites Work

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• BV supersolutions to equations of 1-Laplace and minimal surface type
• Unbounded periodic solutions to Serrin's overdetermined boundary value problem
• Bifurcating extremal domains for the first eigenvalue of the Laplacian
• Pairings between measures and bounded functions and compensated compactness
• On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
• A characterization of convex calibrable sets in \(\mathbb R^N\)
• Existence of self-Cheeger sets on Riemannian manifolds
• A symmetry problem in potential theory
• Isoperimetric-type inequalities on constant curvature manifolds
• An Overview on the Cheeger Problem
• A sufficient criterion to determine planar self-Cheeger sets

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