Florica Cirstea

Australian National University

On some nonlinear elliptic problems with boundary blow-up

The study of elliptic problems with boundary blow-up has attracted considerable attention starting in 1916 with a work of Bieberbach. This interest has been reignited in the last decades from the need to undestand various models from Riemannian geometry, population dynamics and mathematical physics. In this talk we discuss the treatment of some nonlinear elliptic problems with boundary blow- up and their relationship with Karamata’s theory of regular variation (and its extensions due to de Haan)