Homogenization of supremal functionals in the vectorial case (via \(L^p\)-approximation)

Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions of several variables, generalizations (26B25) Homogenization, determination of effective properties in solid mechanics (74Q99)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Dimensional reduction for supremal functionals
Homogenization of unbounded singular integrals in \(W^{1,\infty}\)
Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
An introduction to \(\Gamma\)-convergence
Homogenization of Dirichlet problems with convex bounded constraints on the gradient
Homogenization of nonconvex unbounded singular integrals
An extension theorem from connected sets and homogenization of non-local functionals
Vectorial variational principles in \(L^\infty\) and their characterisation through PDE systems
A relaxation result in the vectorial setting and power law approximation for supremal functionals
A remark on dimension reduction for supremal functionals: the case with convex domains.
Asymptotic rigidity of layered structures and its application in homogenization theory
Homogenization of layered materials with rigid components in single-slip finite crystal plasticity
Minimization problems for the functional \(\displaystyle{\sup_x}\, F(x,f(x),f'(x))\). I, II
Extension of functions satisfying Lipschitz conditions
On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)
Homogenization of integral energies under periodically oscillating differential constraints
Stochastic homogenization of nonconvex unbounded integral functionals with convex growth
A-quasiconvexity: Relaxation and homogenization
Unbounded functionals in the calculus of variations. Representations, relaxation, and homogenization
On the lower semicontinuous quasiconvex envelope for unbounded integrands (I)
Some Model Problems of Polycrystal PLasticity with Deficient Basic Crystals
Dielectric breakdown: optimal bounds
HOMOGENIZATION OF L^∞ FUNCTIONALS
Vectorial variational problems in L ^∞ constrained by the Navier–Stokes equations*
Existence of Minimizers for NonLevel Convex Supremal Functionals
On the integral representation of relaxed functionals with convex bounded constraints
Lower semicontinuity of \(L^\infty\) functionals.
Integral representation of unbounded variational functionals on Sobolev spaces

This page was built for publication: Homogenization of supremal functionals in the vectorial case (via \(L^p\)-approximation)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6587601)