\(\Gamma \)-convergence of some super quadratic functionals with singular weights

DOI10.1007/s00209-009-0584-xzbMath1205.82069arXiv0903.0984OpenAlexW2034615842MaRDI QIDQ707562

Giampiero Palatucci, Yannick Sire

Publication date: 8 October 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0984

zbMATH Keywords

weighted Sobolev spacesphase transitionsfunctions of bounded variation\(\Gamma\)-convergenceline tensionnonlocal variational problems

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items

Sharp constants in weighted trace inequalities on Riemannian manifolds, Hitchhiker's guide to the fractional Sobolev spaces, A weighted gradient theory of phase transitions with a possibly singular and degenerate spatial inhomogeneity, \(\Gamma\) convergence of an energy functional related to the fractional Laplacian

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