Diff. Geom, Math. Phys., PDE Seminar: Luiz Fernando de Oliveira Faria
- Date: 11/29/2016
- Time: 15:30
Lecturer(s):
Luiz Fernando de Oliveira Faria, Universidade Federal de Juiz de Fora
Location:
University of British Columbia
Topic:
Hénon Problem in Hyperbolic Space
Description:
We deal with a class of the semilinear elliptic equations of the Hénon-type in hyperbolic space. The problem involves a logarithm weight in the Poincaré ball model, bringing singularities on the boundary. Considering radial functions, a compact Sobolev embedding result is proved, which extends a former Ni result made for a unit ball in R^N. Combining this compactness embedding with the Mountain Pass Theorem, an existence result is established.
Other Information:
Location: ESB 2012