Nonexistence results for elliptic differential inequalities with a potential in bounded domains

Dario D. Monticelli; Fabio Punzo

Nonexistence results for elliptic differential inequalities with a potential in bounded domains

Analysis of PDEs 2016-12-04 v1 Differential Geometry

Authors: Dario D. Monticelli , Fabio Punzo

Abstract

In this paper we are concerned with a class of elliptic differential inequalities with a potential in bounded domains both of $\mathbf{R}^m$ and of Riemannian manifolds. In particular, we investigate the effect of the behavior of the potential at the boundary of the domain on nonexistence of nonnegative solutions.

Keywords

elliptic differential inequalities potential bounded domains nonexistence results Riemannian manifolds nonnegative solutions

Cite

@article{arxiv.1611.09183,
  title  = {Nonexistence results for elliptic differential inequalities with a potential in bounded domains},
  author = {Dario D. Monticelli and Fabio Punzo},
  journal= {arXiv preprint arXiv:1611.09183},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1406.1093

Related papers

View all related →