18 may 2005

Abstract.

seminari di calcolo delle variazioni

where: Dipartimento di Matematica, Sala delle Riunioni

when: Wednesday, May 18, at 5.30 pm

speaker: Enrico Valdinoci (Università di Roma II, Tor Vergata)

title: Geometric features of some models related with phase transitions and fluid jets

abstract: We deal with the functional $$ \int
\nabla u
^p +W(u) $$ where either $W(u)=(1-u^2)^p$ or $W(u)=\chi_{(-1,1)}(u)$. We consider some Harnack inequalities and curvature estimates for level sets and we derive some one-dimensional simmetry results.