[CvGmt News] Seminari Calcolo delle Variazioni
w3 at cvgmt.sns.it
w3 at cvgmt.sns.it
Thu Mar 11 18:44:26 CET 2010
Quasiconvex integrals with (p,q)-growth
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The first Calculus of Variations seminar of the second semester will
be:
Wednesday, March 17
5 pm, Dipartimento di Matematica, Sala Seminari.
Prof. Thomas Schmidt (FAU Erlangen-Nuernberg)
Title: Quasiconvex integrals with (p,q)-growth
Abstract: We investigate the minimization problem for multi-dimensional
variational integrals, defined on vector-valued functions, with respect
to a Dirichlet boundary condition. If the integrand grows like a fixed
power then existence and partial regularity of minimizers are
well-understood and related to the notion of quasiconvexity. Here, we
are interested in the case where the integrand can be estimated from
above and below in terms of two different powers, a model case being
polyconvex integrands with lower exponent possibly smaller than the
space dimension. We will discuss two approaches to existence and
partial regularity in this setting, one of them based on the notion of
W^1,p-quasiconvexity, the other (and more interesting) one relying on
subtle properties of a relaxation procedure.
You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20100317/
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