DoubleΓ-Convergence and Application to Energy Functionals

DOI10.1017/S0013091514000030zbMath1322.49022MaRDI QIDQ5173082

Mao-Sheng Chang

Publication date: 6 February 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

functions of bounded variation\(\Gamma\)-convergencecapacities

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Cites Work

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• \(C^1\) regularity for infinity harmonic functions in two dimensions
• \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions
• A tour of the theory of absolutely minimizing functions
• The infinity Laplacian, Aronsson's equation and their generalizations

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