The 0-fractional perimeter between fractional perimeters and Riesz potentials

DOI10.2422/2036-2145.202001_002zbMath1484.49024arXiv1906.06303OpenAlexW3128244510MaRDI QIDQ5037187

Lucia De Luca, Marcello Ponsiglione, Matteo Novaga

Publication date: 28 February 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06303

zbMATH Keywords

\(\Gamma\)-convergenceRiesz potentialsfractional perimeterssub-Laplacian operatorsa Lie group of Heisenberg

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Existence theories in calculus of variations and optimal control (49J99)

Related Items (7)

Second-order asymptotics of the fractional perimeter as \(s \to 1\) ⋮ Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian ⋮ Spectral Properties of the logarithmic Laplacian ⋮ The variational approach to \(s\)-fractional heat flows and the limit cases \(s \rightarrow 0^+\) and \(s \rightarrow 1^-\) ⋮ On an Electrostatic Problem and a New Class of Exceptional Subdomains of \(\mathbb{R}^3\) ⋮ Two Slope Functions Minimizing Fractional Seminorms and Applications to Misfit Dislocations ⋮ The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows

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