Polynomial Growth or Decay of Elgenfunctlons of Second-order Elliptic Operators
Jun Uchiyama · Publications of the Research Institute for Mathematical Sciences · 1987
In this paper we shall study the asymptotic behaviors as #|-»oo of the not identically vanishing solution u (#) e H\ oc (Q) of secondorder elliptic equation in an unbounded domain Q={x\ where the matrix (0,v(#)) is uniformly positive definite, &,-(#) (l 0 and 2-2 j S<7 0 3 d 2 R* where (/)_(jv) =max{0, -/(A:)} for a real-valued function /(^) 8 More