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 
-growth at infinity, 
,
is the restriction to symmetric matrices of a 
-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.
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