We study decay and compact support properties of positive and bounded solutions of Δpu≥Λ(u) on the exterior of a compact set of a complete manifold with rotational symmetry. In the same setting, we also give a new characterization of stochastic completeness for the p-Laplacian in terms of a global W1,p-regularity of such solutions. One of the tools we use is a nonlinear version of the Feller property which we investigate on general Riemannian manifolds and which we establish under integral Ricci curvature conditions.

Qualitative properties of bounded subsolutions of nonlinear PDEs

Bianchi D.;
2020

Abstract

We study decay and compact support properties of positive and bounded solutions of Δpu≥Λ(u) on the exterior of a compact set of a complete manifold with rotational symmetry. In the same setting, we also give a new characterization of stochastic completeness for the p-Laplacian in terms of a global W1,p-regularity of such solutions. One of the tools we use is a nonlinear version of the Feller property which we investigate on general Riemannian manifolds and which we establish under integral Ricci curvature conditions.
Feller property
p-Laplacian
Stochastic completeness
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/338903
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