# Local estimates for minimizers of some convex integral functional of the gradient and the Strong Maximum Principle

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Lunedi' 26 ottobre alle ore 12.15 in aula 2BC/30 TA Telma Santos (Universita' di Evora, Portogallo) terra' un seminario dal titolo "Local estimates for minimizers of some convex integral functional of
the gradient and the Strong Maximum Principle".

-Abstract
We consider a class of convex integral functionals with lagrangeans depending only on the gradient and satisfying a kind of symmetry different from the traditional one. Adapting a method by A. Cellina we
obtain some local estimates for the minimizers of the corresponding variational problems (a comparison type result), which in a particular case imply the validity of the Strong Maximum Principle.

Rif. int. M. Bardi, A. Cesaroni, G Colombo