Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings

DOI10.1051/cocv:2008026zbMath1167.49015OpenAlexW2134281152MaRDI QIDQ3628298

Domenico Mucci

Publication date: 19 May 2009

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/245465

zbMATH Keywords

relaxationBV functionsmanifold constraints

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• The approximation problem for Sobolev maps between two manifolds
• Variational problems for maps of bounded variation with values in \(S^ 1\)
• Manifold constrained variational problems
• Maps into manifolds and currents: area and \(W^{1,2}\)-, \(W^{1/2}\)-, \(BV\)-energies
• Weak convergence of completely additive vector functions on a set
• Ground states in complex bodies
• Relaxation of multiple integrals in the spaceBV(Ω, R^P)
• Relaxed energies for functionals on W1,1(B2, S1)
• 3D-2D Asymptotic Analysis for Micromagnetic Thin Films