Published Paper
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Inserted: 3 feb 2017
Last Updated: 11 nov 2026

Journal: Trends in Applications of Mathematics to Mechanics.
Year: 2018

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.

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