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 03-CNA-09

2-Quasiconvexity versus 1-Quasiconvesity

Gianni Dal Maso
S.I.S.S.A.
Trieste, Italy
dalmaso@sissa.it

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

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

Massimiliano Morini
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
morini@andrew.cmu.edu

Abstract: In this paper it is shown that a smooth strictly 2-quasiconvex function with $p$-growth at infinity, $p > 1$, is the restriction to symmetric matrices of a $q$-quasiconvex function with the same growth. AS a consequence, lower semicontinuity results for second-order variational problems are deduced as corollaries of classical first order theorems.

Get the paper in its entirety as

Back to CNA Publications