The aim of this paper is to study a new equivalent form of the weak maximum principle for a large class of dierential operators on Riemannian manifolds. This new form has been inspired by the work of Berestycki, Hamel and Rossi, [5], for trace operators and allows us to shed new light on it and to introduce a new sufficient bounded Khas'minskii type condition for its validity. We show its effectiveness by applying it to obtain some uniqueness results in a geometric setting.

On a paper of Berestycki-Hamel-Rossi and its relations to the weak maximum principle at innity, with applications

MARI, Luciano;
In corso di stampa

Abstract

The aim of this paper is to study a new equivalent form of the weak maximum principle for a large class of dierential operators on Riemannian manifolds. This new form has been inspired by the work of Berestycki, Hamel and Rossi, [5], for trace operators and allows us to shed new light on it and to introduce a new sufficient bounded Khas'minskii type condition for its validity. We show its effectiveness by applying it to obtain some uniqueness results in a geometric setting.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/65863
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