Some non-linear function theoretic properties of Riemannian manifolds
Stefano Pigola
Università dell'Insubria, Como, ItalyMarco Rigoli
Università di Milano, ItalyAlberto G. Setti
Università dell'Insubria, Como, Italy
Abstract
We study the appropriate versions of parabolicity stochastic completeness and related Liouville properties for a general class of operators which include the -Laplace operator, and the non linear singular operators in non-diagonal form considered by J. Serrin and collaborators.
Cite this article
Stefano Pigola, Marco Rigoli, Alberto G. Setti, Some non-linear function theoretic properties of Riemannian manifolds. Rev. Mat. Iberoam. 22 (2006), no. 3, pp. 801–831
DOI 10.4171/RMI/474