Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Thursday 26.3.2015 at 14:00 Lecture room M-223

Marek Fila (KAMŠ FMFI UK):

Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition

Abstract:

We consider a semilinear elliptic equation in the half-space. On the boundary, a linear dynamical boundary condition is imposed. We present sharp results on existence and non-existence of positive solutions. This is a joint work with Kazuhiro Ishige and Tatsuki Kawakami.