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math.AP2016
Nonexistence results for elliptic differential inequalities with a potential in bounded domains
Dario D. Monticelli, Fabio Punzo
In this paper we are concerned with a class of elliptic differential inequalities with a potential in bounded domains both of and of Riemannian manifolds. In particu…
math.AP2016
Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Berardino Sciunzi
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…