Continuity of some non-local functionals with respect to a convergence of the underlying measures

DOI10.1016/j.matpur.2022.12.005OpenAlexW4311455846MaRDI QIDQ2111987

Andrea Braides, Gianni Dal Maso

Publication date: 17 January 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01552

zbMATH Keywords

Mosco convergence\(\Gamma\)-convergencenon-local functionalsgraphonscut norm

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45) Spaces of measures, convergence of measures (28A33) Existence theories for problems in abstract spaces (49J27) Measures and integrals in product spaces (28A35)

Related Items (2)

Compactness for a class of integral functionals with interacting local and non-local terms ⋮ Validity and failure of the integral representation of \(\Gamma \)-limits of convex non-local functionals

Cites Work

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• Dirichlet forms and symmetric Markov processes.
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• Composite media and asymptotic Dirichlet forms
• An introduction to \(\Gamma\)-convergence
• Convergence of convex sets and of solutions of variational inequalities
• A property of sobolev spaces
• Γ-limit of the cut functional on dense graph sequences
• Quasi-random graphs

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