Relaxation of p-growth integral functionals under space-dependent differential constraints

Elisa Davoli; Irene Fonseca

Relaxation of p-growth integral functionals under space-dependent differential constraints

Analysis of PDEs 2017-02-08 v2

Authors: Elisa Davoli , Irene Fonseca

Abstract

A representation formula for the relaxation of integral energies $(u,v)\mapsto\int_{\Omega} f(x,u(x),v(x))\,dx,$ is obtained, where $f$ satisfies $p$ -growth assumptions, $1<p<+\infty$ , and the fields $v$ are subjected to space-dependent first order linear differential constraints in the framework of $\mathscr{A}$ -quasiconvexity with variable coefficients.

Keywords

energy minimization gamma-convergence and homogenization

Cite

@article{arxiv.1702.01088,
  title  = {Relaxation of p-growth integral functionals under space-dependent differential constraints},
  author = {Elisa Davoli and Irene Fonseca},
  journal= {arXiv preprint arXiv:1702.01088},
  year   = {2017}
}

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