Validity and failure of the integral representation of \(\Gamma \)-limits of convex non-local functionals

DOI10.1016/j.jfa.2024.110317arXiv2305.04679OpenAlexW4390754765MaRDI QIDQ6187699

Andrea Braides, Gianni Dal Maso

Publication date: 31 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.04679

zbMATH Keywords

integral representationDirichlet formsnon-local functionals\( \Gamma \)-convergence

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Methods involving semicontinuity and convergence; relaxation (49J45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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