Quasiconvexification of geometric integrals
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Publication:2505604
DOI10.1007/S10231-004-0123-7zbMath1099.49011OpenAlexW1969744612MaRDI QIDQ2505604
Publication date: 27 September 2006
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-004-0123-7
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)
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The nonlinear membrane energy: variational derivation under the constraint ``\(\det \nabla u\neq 0\) ⋮ \(\Gamma\)-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization ⋮ Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces ⋮ Parabolic PDEs on low-dimensional structures ⋮ A stationary heat conduction problem in low dimensional sets in \({\mathbb{R}}^N\) ⋮ Lower semicontinuity of integrals of the calculus of variations in Cheeger-Sobolev spaces
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