English

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

Analysis of PDEs 2014-06-05 v1 Differential Geometry

Abstract

In this paper we are concerned with a class of elliptic differential inequalities with a potential both on \errem\erre^m 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.

Keywords

Cite

@article{arxiv.1406.1093,
  title  = {Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds},
  author = {P. Mastrolia and D. D. Monticelli and F. Punzo},
  journal= {arXiv preprint arXiv:1406.1093},
  year   = {2014}
}