Displaying similar documents to “An existence result for a nonconvex variational problem via regularity”

Homogenization of unbounded functionals and nonlinear elastomers. The case of the fixed constraints set

Luciano Carbone, Doina Cioranescu, Riccardo De Arcangelis, Antonio Gaudiello (2004)

ESAIM: Control, Optimisation and Calculus of Variations

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The paper is a continuation of a previous work of the same authors dealing with homogenization processes for some energies of integral type arising in the modeling of rubber-like elastomers. The previous paper took into account the general case of the homogenization of energies in presence of pointwise oscillating constraints on the admissible deformations. In the present paper homogenization processes are treated in the particular case of fixed constraints set, in which minimal coerciveness...

Optimal partial regularity of minimizers of quasiconvex variational integrals

Christoph Hamburger (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove partial regularity with optimal Hölder exponent of vector-valued minimizers of the quasiconvex variational integral F ( x , u , D u ) d x under polynomial growth. We employ the indirect method of the bilinear form.

On Hölder regularity for vector-valued minimizers of quasilinear functionals

Josef Daněček, Eugen Viszus (2010)

Mathematica Bohemica

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We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type 𝒜 ( u ; Ω ) = Ω A i j α β ( x , u ) D α u i D β u j d x whose gradients belong to the Morrey space L 2 , n - 2 ( Ω , n N ) .

An approximation theorem for sequences of linear strains and its applications

Kewei Zhang (2004)

ESAIM: Control, Optimisation and Calculus of Variations

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We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in L 1 by the sequence of linear strains of mapping bounded in Sobolev space W 1 , p . We apply this result to establish equalities for semiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.