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.;
2020-01-01

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.
2020
Feller property
p-Laplacian
Stochastic completeness
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/338903
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? ND
social impact