Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces
type: Item
instance of: scholarly article
title: Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces
zbMATH Open document ID: 1492.46031
author: Omar Anza Hafsa
author: Jean-Philippe Mandallena
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2022-02-11T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 7472461
zbMATH Keywords: integral representation
zbMATH Keywords: relaxation
zbMATH Keywords: integral functionals defined on Cheeger-Sobolev spaces
MaRDI profile type: Publication
full work available at URL: j.na.2021.112744
OpenAlex ID: W3203340195
cites work: A Lusin type theorem for gradients
cites work: On the relaxation of variational integrals in metric Sobolev spaces
cites work: \(\Gamma\)-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization
cites work: Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces
cites work: Lower semicontinuity of integrals of the calculus of variations in Cheeger-Sobolev spaces
cites work: \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
cites work: \(L^q\)-differentials for weighted Sobolev spaces
cites work: Nonlinear potential theory on metric spaces
cites work: Regularization of a set function -- application to integral representation
cites work: Energies with respect to a measure and applications to low dimensional structures
cites work: A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\)
cites work: A global method for relaxation
cites work: Q3839799
cites work: Q3995083
cites work: Integral representation and relaxation of local functionals
cites work: Convex analysis and measurable multifunctions
cites work: Q4805980
cites work: Q5308190
cites work: Differentiability of Lipschitz functions on metric measure spaces
cites work: Liouville theorems for harmonic sections and applications
cites work: An introduction to \(\Gamma\)-convergence
cites work: Integral functionals determined by their minima
cites work: Lusin-type theorems for Cheeger derivatives on metric measure spaces
cites work: Q4190861
cites work: Definitions of Sobolev classes on metric spaces
cites work: Axiomatic theory of Sobolev spaces
cites work: Differentiability of \(p\)-harmonic functions on metric measure spaces
cites work: Q4453425
cites work: Sobolev met Poincaré
cites work: Nonsmooth calculus
cites work: Quasiconformal maps in metric spaces with controlled geometry
cites work: Sobolev Spaces on Metric Measure Spaces
cites work: Q3839806
cites work: A differentiable structure for metric measure spaces
cites work: Differentiable structures on metric spaces: a primer
cites work: \( \Gamma\)-convergence for functionals depending on vector fields. I: Integral representation and compactness
cites work: Integral representation of local left-invariant functionals in Carnot groups
cites work: On the extension of von Neumann-Aumann's theorem
cites work: Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
cites work: Homogenization of elasticity problems on singular structures
DOI: 10.1016/J.NA.2021.112744
description: scientific article; zbMATH DE number 7472461