We obtain a maximum principle at infinity for solutions of a class
of nonlinear singular elliptic differential inequalities on
Riemannian manifolds under the sole geometrical assumptions of
volume growth conditions. In the case of the Laplace-Beltrami
operator we relate our results to stochastic completeness and
parabolicity of the manifold.
Publié le : 2005-03-14
Classification:
maximum principles,
volume growth,
58J05,
53C21
@article{1123766803,
author = {Rigoli, Marco and Salvatori, Maura and Vignati, Marco},
title = {Some Remarks on the Weak Maximum Principle},
journal = {Rev. Mat. Iberoamericana},
volume = {21},
number = {2},
year = {2005},
pages = { 459-481},
language = {en},
url = {http://dml.mathdoc.fr/item/1123766803}
}
Rigoli, Marco; Salvatori, Maura; Vignati, Marco. Some Remarks on the Weak Maximum Principle. Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, pp. 459-481. http://gdmltest.u-ga.fr/item/1123766803/