Diff. Geom, Math. Phys., PDE Seminar: Luiz Fernando de Oliveira Faria

  • Date: 11/29/2016
  • Time: 15:30
Luiz Fernando de Oliveira Faria, Universidade Federal de Juiz de Fora

University of British Columbia


Hénon Problem in Hyperbolic Space


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.

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Location: ESB 2012