Weak lower semicontinuity of polyconvex integrals
From MaRDI portal
Publication:4277226
DOI10.1017/S0308210500030900zbMath0813.49017OpenAlexW2111421505MaRDI QIDQ4277226
Publication date: 28 May 1995
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500030900
Convex programming (90C25) Nonsmooth analysis (49J52) Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items
Lower semicontinuity of a class of multiple integrals below the growth exponent, \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap, Lower semicontinuity of quasiconvex integrals, A direct proof for lower semicontinuity of polyconvex functionals, Weak lower semicontinuity of polyconvex integrals: A borderline case, An existence theory for nonlinear elasticity that allows for cavitation, Relaxation of multiple integrals below the growth exponent, Further remarks on the lower semicontinuity of polyconvex integrals, Unnamed Item, Relaxation of multiple integral in subcritical Sobolev spaces, Weak lower semicontinuity for polyconvex integrals in the limit case, Vector variational problem with knitting boundary conditions, Lower semicontinuity for higher order integrals below the growth exponent, A new approach to Young measure theory, relaxation and convergence in energy, Lower semicontinuity in Sobolev spaces below the growth exponent of the integrand, Young Measures as Measurable Functions and Their Applications to Variational Problems, Lower semicontinuity for polyconvex integrals without coercivity assumptions, Bounds for vector valued minimizers of some relaxed functionals, Unnamed Item, The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent, Lower semi-continuity for non-coercive polyconvex integrals in the limit case, A trace preserving operator and applications, Young measure approach to characterization of behaviour of integral functionals on weakly convergent sequences by means of their integrands, On the \(L^{1}\)-lower semicontinuity of certain convex functionals defined on \(BV\)-vector valued functions, Sets of lower semicontinuity and stability of integral functionals, Differential Inclusions and Young Measures Involving Prescribed Jacobians, Weak continuity and lower semicontinuity results for determinants
Cites Work
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Convexity conditions and existence theorems in nonlinear elasticity
- Stability theorems for mappings with bounded excursions
- Biting theorems for Jacobians and their applications
