Fractional perimeters from a fractal perspective

DOI10.1515/ANS-2018-2016zbMath1412.28008arXiv1603.06088OpenAlexW2963643600WikidataQ129725071 ScholiaQ129725071MaRDI QIDQ2631659

Luca Lombardini

Publication date: 15 May 2019

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06088

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Fractals (28A80) 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 ⋮ Gamma-convergence of Gaussian fractional perimeter ⋮ The stickiness phenomena of nonlocal minimal surfaces: new results and a comparison with the classical case ⋮ On nonlocal minimal graphs ⋮ Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups ⋮ Asymptotics of the \(s\)-fractional Gaussian perimeter as \(s\rightarrow 0^+\)

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