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.
Pigola, S., Rigoli, M., Setti, A. (2006). Some non-linear function theoretic properties of Riemannian manifolds. REVISTA MATEMATICA IBEROAMERICANA, 22(3), 801-831 [10.4171/RMI/474].
Some non-linear function theoretic properties of Riemannian manifolds
PIGOLA S;
2006
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.
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