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Lower semicontinuity for quasiconvex integrals of higher order

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Publication:1294021
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DOI10.1007/s000300050074zbMath0930.35059OpenAlexW1975726281MaRDI QIDQ1294021

Marcello Guidorzi, Laura Poggiolini

Publication date: 9 February 2000

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000300050074


zbMATH Keywords

Carathéodory functionlocal Lipschitz continuity\(p\)-growth condition


Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Continuous and differentiable maps in nonlinear functional analysis (46T20)


Related Items

A note on Meyers’ Theorem in $W^{k,1}$ ⋮ \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ A-Quasiconvexity: Relaxation and Homogenization ⋮ Second-order analysis for thin structures. ⋮ Partial regularity of minimizers of higher order integrals with (p,q)-growth ⋮ Unnamed Item ⋮ Partial regularity for polyconvex functionals depending on the Hessian determinant ⋮ Sets of lower semicontinuity and stability of integral functionals ⋮ Partial regularity results for minimizers of quasiconvex functionals of higher order



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