CMU Campus
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 Davoli
Department of Mathematics
University of Vienna
Oskar-Morgenstern-Platz 1
1090 Vienna, Austria

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

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

«   Back to CNA Publications