On a notion of nonlocal curvature tensor

DOI10.1007/S10659-023-09985-WzbMath1526.35296arXiv2211.00552MaRDI QIDQ6064083

Paolo Podio-Guidugli, Brian Seguin, Roberto Paroni

Publication date: 8 November 2023

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.00552

zbMATH Keywords

nonlocal curvaturesfractional area functionalfractional perimeter functionalnonlocal curvature tensor

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Surfaces in Euclidean and related spaces (53A05) Fractional partial differential equations (35R11)

Cites Work

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• Regularity properties of nonlocal minimal surfaces via limiting arguments
• Distributional Jacobian and singularities of Sobolev maps
• A Notion of Nonlocal Curvature
• Nonlocal minimal surfaces

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