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On the relaxation of variational integrals in metric Sobolev spaces

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Publication:486469
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DOI10.1515/ACV-2013-0207zbMath1305.49018arXiv1206.6643OpenAlexW2963900562MaRDI QIDQ486469

Omar Anza Hafsa, Jean-Philippe Mandallena

Publication date: 15 January 2015

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.6643


zbMATH Keywords

Sobolev spacesrelaxationvariational integralmetric measure space


Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)


Related Items (4)

\(\Gamma\)-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization ⋮ Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces ⋮ Lower semicontinuity of integrals of the calculus of variations in Cheeger-Sobolev spaces ⋮ Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces







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