A change of variables formula for mappings in BV

DOI10.1090/S0002-9939-97-03793-3zbMath0883.49029MaRDI QIDQ4339186

Rustum Choksi, Irene Fonseca

Publication date: 5 June 1997

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

zbMATH Keywords

maximal functionfunctions of bounded variationchange of variables formulaapproximate differential

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Fracture and damage (74R99) Variational problems in a geometric measure-theoretic setting (49Q20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (3)

The Grand Sobolev Homeomorphisms and Their Measurability Properties ⋮ N-Lusin property in metric measure spaces: a new sufficient condition ⋮ Area formulas in metric measure spaces under a weak Lipschitz-like condition

Cites Work

• A Lusin type theorem for gradients
• Bulk and interfacial energy densities for structured deformations of continua
• Relaxation in \(BV\) versus quasiconvexification in \(W^{1,p}\); a model for the interaction between fracture and damage
• Weakly Differentiable Functions
• On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk)
• Area and the area formula
• A General Chain Rule for Distributional Derivatives
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