Nonlocal perimeter, curvature and minimal surfaces for measurable sets
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Publication:2330783
DOI10.1007/s11854-019-0027-5zbMath1426.49043OpenAlexW2945502287WikidataQ127577546 ScholiaQ127577546MaRDI QIDQ2330783
Julián Toledo, Julio D. Rossi, José M. Mazón Ruiz
Publication date: 23 October 2019
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11854-019-0027-5
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 (17)
Gradient flows in metric random walk spaces ⋮ Fractional total variation denoising model with \(L^1\) fidelity ⋮ \((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces ⋮ The Cheeger cut and Cheeger problem in metric graphs ⋮ Asymptotics of non-local perimeters ⋮ Local Hölder regularity of minimizers for nonlocal variational problems ⋮ The Cheeger cut and Cheeger problem in metric measure spaces ⋮ On the solutions of nonlocal 1-Laplacian equation with \(L^1\)-data ⋮ Calibrations and null-Lagrangians for nonlocal perimeters and an application to the viscosity theory ⋮ The Dirichlet random walk ⋮ Torsional Rigidity in Random Walk Spaces ⋮ The Cheeger problem in abstract measure spaces ⋮ An isoperimetric problem with a competing nonlocal singular term ⋮ The total variation flow in metric random walk spaces ⋮ Convergence of nonlocal geometric flows to anisotropic mean curvature motion ⋮ Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups ⋮ (Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property
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