Positive supersolutions to general nonlinear elliptic equations in exterior domains

We study the problem of non-existence of positive solutions to the elliptic inequalities involving quasilinear operators of the type –divA(x,u,u)|x|^su^p, in the exterior domains in ^N, N3, p>1.Acknowledgement Parts of this work were discussed during I.V.Skrypniks visit to Bristol. Support of the Institute of Advanced Studies of the University of Bristol via a Benjamin Meaker Professorship is gratefully acknowledged.