Integral representation of local functionals

DOI10.1007/BF01765841zbMath0802.49025MaRDI QIDQ1327138

Giovanni Alberti

Publication date: 1 December 1994

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

integral representationrelaxationlocal functionals

Mathematics Subject Classification ID

Numerical methods of relaxation type (49M20)

Related Items (5)

Integral representation of local functionals depending on vector fields ⋮ ON HESSIAN MATRICES IN THE SPACE BH ⋮ Integral representation of local left-invariant functionals in Carnot groups ⋮ Integral representation for energies in linear elasticity with surface discontinuities ⋮ Local mappings on spaces of differentiable functions

Cites Work

• The superposition operator in function spaces - A survey
• Representation of additive functionals on vector-valued normed Köthe spaces
• \(\Gamma\)-limits of integral functionals
• A Lusin type theorem for gradients
• Convex analysis and measurable multifunctions
• Integral representation and relaxation of local functionals
• A characterization of nonlinear functionals on Sobolev spaces which admit an integral representation with a Carathéodory integrand
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