SMS scnews item created by Florica Cirstea at Fri 2 Sep 2011 1515
Type: Seminar
Distribution: World
Expiry: 5 Sep 2011
Calendar1: 5 Sep 2011 1400-1500
CalLoc1: Eastern Ave. Room 405
Auth: florica@p7192.pc (assumed)

PDE Seminar

Isolated singularities for nonlinear elliptic equations with inverse square potentials

Cirstea

Florica CÓrstea
The University of Sydney
5 Sep 2011, 2-3pm, Eastern Avenue Seminar Room 405

Abstract

We consider a broad class of nonlinear elliptic equations in a punctured domain and give a complete classification of the behaviour near an isolated singularity for all positive solutions. An important feature of our study lies in the incorporation of inverse square potentials and weighted nonlinearities, whose asymptotic behaviour is modeled by regularly varying functions. In particular, we find sharp conditions such that the singularity is removable for all non-negative solutions, thus resolving an open question of VŠzquez and Vťron (1985).

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


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