A Notion of Nonlocal Curvature
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Publication:2877726
DOI10.1080/01630563.2014.901837zbMath1296.53021OpenAlexW2185903700MaRDI QIDQ2877726
Enrico Valdinoci, Nicola Abatangelo
Publication date: 25 August 2014
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2014.901837
fractional Laplaciannonlocal mean curvaturefractional perimeters\(s\)-minimal surfacesnonlocal directional curvature
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces and optimization (49Q05) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Regularity of nonlocal minimal cones in dimension 2
- Asymptotics of the \(s\)-perimeter as \(s \searrow 0\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Uniform estimates and limiting arguments for nonlocal minimal surfaces
- A quantitative isoperimetric inequality for fractional perimeters
- Gamma-convergence of nonlocal perimeter functionals
- Convergence of nonlocal threshold dynamics approximations to front propagation
- Level set approach for fractional mean curvature flows
- A fractional framework for perimeters and phase transitions
- Regularity properties of nonlocal minimal surfaces via limiting arguments
- Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
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