Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica (Mar 2010)
Boundary value problems for a second-order elliptic equation in unbounded domains.
Abstract
We investigate the behaviour of weak solutions to the boundary value problems for the second order elliptic linear equation in a neighborhood of innity. The exponent of the decreasing rate of solutions at innity has been exactly calculated.