On the total variation of the Jacobian.

DOI10.1016/S0022-1236(03)00111-3zbMath1041.49016OpenAlexW2154869945MaRDI QIDQ1428441

Paolo Marcellini, Nicola Fusco, Irene Fonseca

Publication date: 29 March 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(03)00111-3

zbMATH Keywords

total variationtopological degreeJacobian determinant

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stress concentrations, singularities in solid mechanics (74G70) Methods involving semicontinuity and convergence; relaxation (49J45)

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Sharp regularity for functionals with (\(p\),\(q\)) growth ⋮ Strict convergence with equibounded area and minimal completely vertical liftings ⋮ Weak lower semicontinuity for polyconvex integrals in the limit case ⋮ Relaxed area of graphs of piecewise Lipschitz maps in the strict \(BV\)-convergence ⋮ Matrix Hermite polynomials, random determinants and the geometry of Gaussian fields ⋮ The Jacobian determinant revisited ⋮ On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces ⋮ Lower semi-continuity for non-coercive polyconvex integrals in the limit case ⋮ Weak notions of Jacobian determinant and relaxation ⋮ Weak continuity and lower semicontinuity results for determinants

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