arXiv subjects

D. D. Monticelli

Publications and source records attributed to D. D. Monticelli.

2 recordsLinked to original sources

arXiv2015

Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds

We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds. In particular, we highlight the interplay between the geometry of the underlying manifold, the power nonlinearity and the behavior of the potential at infinity.

math.AP↗

arXiv2014

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

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

math.AP↗