Some remarks on the weak maximum principle.

Marco Rigoli; Maura Salvatori; Marco Vignati

Revista Matemática Iberoamericana (2005)

  • Volume: 21, Issue: 2, page 459-481
  • ISSN: 0213-2230

Abstract

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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.

How to cite

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Rigoli, Marco, Salvatori, Maura, and Vignati, Marco. "Some remarks on the weak maximum principle.." Revista Matemática Iberoamericana 21.2 (2005): 459-481. <http://eudml.org/doc/41940>.

@article{Rigoli2005,
abstract = {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.},
author = {Rigoli, Marco, Salvatori, Maura, Vignati, Marco},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales elípticas; Desigualdades; Variedad riemanniana; Omori-Yau maximum principle},
language = {eng},
number = {2},
pages = {459-481},
title = {Some remarks on the weak maximum principle.},
url = {http://eudml.org/doc/41940},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Rigoli, Marco
AU - Salvatori, Maura
AU - Vignati, Marco
TI - Some remarks on the weak maximum principle.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 2
SP - 459
EP - 481
AB - 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.
LA - eng
KW - Ecuaciones diferenciales elípticas; Desigualdades; Variedad riemanniana; Omori-Yau maximum principle
UR - http://eudml.org/doc/41940
ER -

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