# PDE and Geometric Analysis Seminar

## Fall 2010

The seminar will be held in room B115 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm

### Seminar Schedule

date speaker title host(s)
sept 13 Fausto Ferrari (Bologna) Semilinear PDE's and some symmetry properties of stable solutions Feldman
sept 20 G.F.Bernhard Riemann (Berlin University) The Dirichlet Principle unknown
sept 27 L.Euler (St.Petersburg) A formula for $\tfrac{1}{1^2}+\tfrac{1}{2^2}+\tfrac{1}{3^2}+\cdots$ unknown
nov. 8 Maria Gualdani (UT Austin) TBA Feldman

### Abstracts

Fausto Ferrari (Bologna) Semilinear PDE's and some symmetry properties of stable solutions I will deal with stable solutions of semilinear elliptic PDE's and some of their symmetry's properties. Moreover, I will introduce some weighted Poincaré inequalities obtained by combining the notion of stable solution with the definition of weak solution.