Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition
Марек Фила, Kazuhiro Ishige, Tatsuki Kawakami · Advances in Differential Equations · 2013
The main purpose of the paper is to study the large-time behavior of positive solutions of a semilinear elliptic equation with a dynamical boundary condition. We show that small solutions behave asymptotically like suitable multiples of the Poisson kernel.