A notion of nonlocal Gaussian curvature

DOI10.4171/RLM/730zbMath1348.49044OpenAlexW2327928557MaRDI QIDQ281919

Paolo Podio-Guidugli

Publication date: 11 May 2016

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/730

zbMATH Keywords

minimal surfacesnonlocal Gaussian curvaturenonlocal mean curvatures-diffusion

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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On a notion of nonlocal curvature tensor ⋮ On the nonlocal curvatures of surfaces with or without boundary ⋮ Decay estimates for evolutionary equations with fractional time-diffusion

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