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Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds

Research paper by P. Mastrolia, D. D. Monticelli, F. Punzo

Indexed on: 31 Jan '15Published on: 31 Jan '15Published in: Calculus of Variations and Partial Differential Equations



Abstract

In this paper we are concerned with a class of elliptic differential inequalities with a potential both on and on Riemannian manifolds. In particular, we investigate the effect of the geometry of the underlying manifold and of the behavior of the potential at infinity on nonexistence of nonnegative solutions.