Some non-linear function theoretic properties of Riemannian manifolds.

Stefano Pigola; Marco Rigoli; Alberto G. Setti

Revista Matemática Iberoamericana (2006)

  • Volume: 22, Issue: 3, page 801-831
  • ISSN: 0213-2230

Abstract

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We study the appropriate versions of parabolicity stochastic completeness and related Liouville properties for a general class of operators which include the p-Laplace operator, and the non linear singular operators in non-diagonal form considered by J. Serrin and collaborators.

How to cite

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Pigola, Stefano, Rigoli, Marco, and Setti, Alberto G.. "Some non-linear function theoretic properties of Riemannian manifolds.." Revista Matemática Iberoamericana 22.3 (2006): 801-831. <http://eudml.org/doc/41993>.

@article{Pigola2006,
abstract = {We study the appropriate versions of parabolicity stochastic completeness and related Liouville properties for a general class of operators which include the p-Laplace operator, and the non linear singular operators in non-diagonal form considered by J. Serrin and collaborators.},
author = {Pigola, Stefano, Rigoli, Marco, Setti, Alberto G.},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoría del potencial; Variedad riemanniana; Operador laplaciano; Ecuaciones diferenciales elípticas; nonlinear potential theory; -Laplacian type operators; Riemanninan manifolds},
language = {eng},
number = {3},
pages = {801-831},
title = {Some non-linear function theoretic properties of Riemannian manifolds.},
url = {http://eudml.org/doc/41993},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Pigola, Stefano
AU - Rigoli, Marco
AU - Setti, Alberto G.
TI - Some non-linear function theoretic properties of Riemannian manifolds.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 3
SP - 801
EP - 831
AB - We study the appropriate versions of parabolicity stochastic completeness and related Liouville properties for a general class of operators which include the p-Laplace operator, and the non linear singular operators in non-diagonal form considered by J. Serrin and collaborators.
LA - eng
KW - Teoría del potencial; Variedad riemanniana; Operador laplaciano; Ecuaciones diferenciales elípticas; nonlinear potential theory; -Laplacian type operators; Riemanninan manifolds
UR - http://eudml.org/doc/41993
ER -

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