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
Auth: daners@como.maths.usyd.edu.au

On a singular elliptic equation with a sign-changing nonlinearity

Cirstea

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

Abstract

Let $\Omega$ be an open subset of ${ℝ}^{n}$ with $n\ge 3$ such that $0\in \Omega$. For $s\in \left(0,2\right)$ and $q>1$ fixed, we consider a positive function $u\in {C}^{\infty }\left(\Omega \\left\{0\right\}\right)$ such that

 (1)

where ${2}^{\star }\left(s\right):=\frac{2\left(n-s\right)}{n-2}$ 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.

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