The relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space

DOI10.1016/j.jfa.2023.109945OpenAlexW4362466745MaRDI QIDQ2700663

Liangjun Weng, Guofang Wang, Lei Liu

Publication date: 27 April 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2023.109945

zbMATH Keywords

free boundaryrelative isoperimetric inequalityABP methodMichael-Simon and Allard inequality

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space

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