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On a paper of Berestycki-Hamel-Rossi and its relations to the weak maximum principle at infinity, with applications
- Publication Year :
- 2018
-
Abstract
- The aim of this paper is to study a new equivalent form of the weak maximum principle for a large class of differential operators on Riemannian manifolds. This new form has been inspired by the work of Berestycki, Hamel and Rossi 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.
- Subjects :
- Pure mathematics
Work (thermodynamics)
Trace (linear algebra)
General Mathematics
media_common.quotation_subject
010102 general mathematics
Differential operator
Infinity
01 natural sciences
010101 applied mathematics
Type condition
Maximum principle
Bounded function
Uniqueness
0101 mathematics
Mathematics
media_common
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....ba2a12a973815c42caf4edafb1792dac