Nonexistence of stable solutions to quasilinear elliptic equations on   Riemannian manifolds
  We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic balls. 
Dario D. Monticelli, Fabio Punzo, Berardino Sciunzi
math.AP