A non local approximation of the Gaussian perimeter: gamma convergence and isoperimetric properties

DOI10.3934/cpaa.2021059zbMath1466.49038arXiv2011.07544OpenAlexW3150576000WikidataQ109931022 ScholiaQ109931022MaRDI QIDQ2032137

Domenico Angelo La Manna, Antonio De Rosa

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07544

zbMATH Keywords

isoperimetric problemGauss spacegamma convergenceEhrhard symmetrizationnon local perimeter

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items

Gamma-convergence of Gaussian fractional perimeter, Some weighted isoperimetric inequalities in quantitative form, Asymptotics of the \(s\)-fractional Gaussian perimeter as \(s\rightarrow 0^+\)

Cites Work

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