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Publication 17-CNA-001

Relaxation Of p-Growth Integral Functionals Under Space-Dependent Differential Constraints

Elisa Davoli
Department of Mathematics
University of Vienna
Oskar-Morgenstern-Platz 1
1090 Vienna, Austria
elisa.davoli@univie.ac.at

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

Abstract: A representation formula for the relaxation of integral energies $$ (u, v) \rightarrow \int_{\Omega} f(x, u(x), v(x))dx, $$ 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 ${\cal A}$-quasiconvexity with variable coefficients.

Get the paper in its entirety as  17-CNA-001.pdf


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