Relaxation of quasiconvex functionals in $BV(\Omega, \mathbb{R}^ N)$ for integrands $f(x, u, \bigtriangledown u)$

DOI10.1007/BF00386367zbMath0788.49039OpenAlexW2044588227MaRDI QIDQ687181

Publication date: 17 October 1993

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00386367

zbMATH Keywords

singular perturbation quasiconvexity relaxation bounded variation quasiconvex functionals linear growth condition energy densities degenerate bounds minima of a bulk energy variational problems for phase transitions

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

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Cites Work

Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)