Qualitative properties of positive solutions of quasilinear elliptic equations in unbounded domains

Speaker:  Berardino Sciunzi - UniversitĂ  della Calabria, Arcavacata di Rende, Cosenza
  Tuesday, January 20, 2009 at 4:15 PM Inizio alle 16:30, Caffè e biscotti alle 16:15.

I will talk about a work in collaboration with L. Damascelli.

We consider positive solutions of the equation -Delta_p (u) = f (u) in possibly unbounded domains in R^2 including the case of the half space. We prove monotonicity and symmetry properties of the solutions, assuming that the nonlinearity f is positive. As a consequence we get some Liouville type theorems.

Ca' Vignal - Piramide, Floor 0, Hall Verde

Programme Director
Marco Squassina

Publication date
September 24, 2008