Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds

28 Jul 2016 · Monticelli Dario D., Punzo Fabio, Sciunzi Berardino ·

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.