SMS scnews item created by Daniel Daners at Wed 27 Aug 2014 1238
Type: Seminar
Distribution: World
Expiry: 1 Sep 2014
Calendar1: 1 Sep 2014 1400-1500
CalLoc1: AGR Carslaw 829

PDE Seminar

On a singular elliptic equation with a sign-changing nonlinearity


Florica Cîrstea
The University of Sydney
1 Sep 2014, 2-3pm, Carslaw Room 829 (AGR)


Let Ω be an open subset of n with n 3 such that 0 Ω. For s (0, 2) and q > 1 fixed, we consider a positive function u C(Ω \{0}) such that

-Δu = u2(s)-1 |x|s - uqin Ω \{0}, (1)

where 2(s) := 2(n-s) n-2 is critical from the viewpoint of the Hardy–Sobolev embeddings. In this talk, I will present recent results on the classification of the behaviour near zero for the positive solutions of (1).

This is joint work with Frédéric Robert (University of Lorraine – Nancy).

Check also the PDE Seminar page. Enquiries to Daniel Hauer or Daniel Daners.