Mon, 03 Mar 2014
17:00 -
18:00
L6
Elliptic and parabolic systems with general growth
Paolo Marcellini
(University of Florence)
Abstract
Motivated by integrals of the Calculus of Variations considered in
Nonlinear Elasticity, we study mathematical models which do not fit in
the classical existence and regularity theory for elliptic and
parabolic Partial Differential Equations. We consider general
nonlinearities with non-standard p,q-growth, both in the elliptic and
in the parabolic contexts. In particular, we introduce the notion of
"variational solution/parabolic minimizer" for a class of
Cauchy-Dirichlet problems related to systems of parabolic equations.