[CvGmt News] Seminari Calcolo delle Variazioni

[w3 at cvgmt.sns.it]

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/