On the integral representation of relaxed functionals with convex bounded constraints

Hafsa, Omar Anza

doi:10.1051/cocv:2008063

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2011

2023

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Cited by 9 publications

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“…213] in connection with relaxation problems with constraints. Later, this concept was proved very useful for relaxation problems in the vectorial case with bounded and convex constraints see [AH10]. Then, it was used to study homogenization and relaxation problems with constraints (see for instance [AHM11,AHM12,AHMZ15]).…”

Section: Introductionmentioning

confidence: 99%

Radial extension of $${\Gamma }$$-limits

Hafsa

Mandallena

2023

Boll Unione Mat Ital

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We continue in this paper our study of the notion of radial uniformly upper semicontinuous functional that we developed in a previous paper (see [AHM14]) in the context of relaxation. We consider here the framework of Γ-convergence. We present general radial extension results with respect to Γ-convergence and give some applications to Γconvergence and homogenization of integral functionals with constraints.

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Section: Introductionmentioning

confidence: 99%