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 16-CNA-019

Regularity Results for an Optimal Design Problem with Quasiconvex Bulk Energies

Menita Carozza
Dipartimento di Ingegneria
Università del Sannio
carozza@unisannio.it

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

Antonia Passarelli
Dipartimento di Mat. e Appl. "R. Caccioppoli"
Università di Napoli "Federico II"
antpassa@unina.it

Abstract: Regularity results for equilibrium configurations of variational problems involving both bulk and surface energies are established. The bulk energy densities are uniformly strictly quasiconvex functions with quadratic growth, but are otherwise not subjected to any further structure conditions. For a minimal configuration ($u,E$), partial Hölder continuity of the gradient of the deformation u is proved, and partial regularity of the boundary of the minimal set $E$ is obtained.

Get the paper in its entirety as  16-CNA-019.pdf


«   Back to CNA Publications