Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact Publication 17-CNA-001 Relaxation Of p-Growth Integral Functionals Under Space-Dependent Differential Constraints Elisa DavoliDepartment of Mathematics University of Vienna Oskar-Morgenstern-Platz 1 1090 Vienna, Austriaelisa.davoli@univie.ac.at Irene FonsecaDepartment of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213fonseca@andrew.cmu.eduAbstract: 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