Homogenization of integral functionals with linear growth defined on vector-valued functions
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Publication:1895861
DOI10.1007/BF01261182zbMath0839.49012MaRDI QIDQ1895861
Riccardo De Arcangelis, Giuliano Gargiulo
Publication date: 19 June 1996
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
integral functionalshomogenizationCarathéodory function\(\Gamma\)-limitvector-valued problemsrecession functionlinear growth functionalsLebesgue-Nikodým decomposition
Methods involving semicontinuity and convergence; relaxation (49J45) Periodic optimal control problems (49N20)
Related Items (6)
Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation ⋮ Homogenization of variational problems in manifold valued \(BV\)-spaces ⋮ Homogenization problems in the calculus of variations: an overview ⋮ Homogenization of functionals with linear growth in the context of \(\mathcal A\)-quasiconvexity ⋮ Variational homogenization: old and new ⋮ On the Integral Representation of Variational Functionals on $BD$
Cites Work
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- Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- On the convergence of integral functionals depending on vector-valued functions
- Homogenization of nonconvex integral functionals and cellular elastic materials
- Functionals with linear growth defined on vector valued BV functions
- Non-homogeneous media and vibration theory
- Some properties of Gamma-limits of integral functionals
- A general homogenization result for almost periodic functionals
- Further results on \(\Gamma\)-convergence and lower semicontinuity of integral functionals depending on vector-valued functions
- On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
- Periodic solutions and homogenization of non linear variational problems
- Comparison results for some types of relaxation of variational integral functionals
- An introduction to \(\Gamma\)-convergence
- The Gibbs-Thompson relation within the gradient theory of phase transitions
- Weak convergence of completely additive vector functions on a set
- Sublinear functions of measures and variational integrals
- Quasiconvex functions with subquadratic growth
- Lower semicontinuity of surface energies
- Weakly Differentiable Functions
- The Lavrentieff phenomenon And Different processes of Homogenization
- Relaxation of multiple integrals in the spaceBV(Ω, RP)
- Homogenization of non-uniformly elliptic operators†
- Rank one property for derivatives of functions with bounded variation
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
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