Date & Time: Friday, August 16, 2013, 15:00-16:00.
Venue: Ramanujan Hall

Title: Semi-linear Elliptic equations admitting similarity transformations

Speaker: Mousomi Bhakta, Technion-Israel Institute of Technology

Abstract: In this talk I will talk about the equation

in a smooth domain $\Omega$ where
and $h$ is a nondecreasing function which satisfies Keller-Osserman condition. We will discuss the subcriticality and supercriticality condition. Under the existence of global barrier for the above equation, we will discuss positive solutions with an isolated singularity in the subcritical case and boundary value problem for the above equation with the boundary data given by a positive regular Borel measure (possibly unbounded). We prove that in the subcritical case, the problem possesses a unique solution for every such measure. This is a joint work with Moshe Marcus.