DG - MP - PDE Seminar: Mustafa Fazly (UBC)

  • Date: 11/01/2011
  • Time: 15:30
Mustafa Fazly (UBC)

University of British Columbia


Liouvill-type theorems for some elliptic equations and systems


In this talk, we consider the problem of non-existence of solutions for
some basic elliptic equations and systems with weights. Starting with
Henon-Lane-Emden system, we present a Liouville-type theorem for bounded
solutions in dimension N=3 as well as the full Henon-Lane-Emden
conjecture in higher dimensions.  Since systems are normally much more
complicated than equations, in higher dimensions we back to single
equations (both second order and fourth order) to prove such theorems
under some additional assumptions on solutions.
Also, during the talk we will see many open problems.
This work has been done under supervision of N. Ghoussoub.

Other Information: 

For further information please see the event page at: http://www.math.ubc.ca/Dept/Events/index.shtml?period=future&series=all