Isolated singularities for nonlinear elliptic equations with inverse square potentials

Florica Cîrstea
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 Vázquez and Véron (1985).

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