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Strong maximum principles for fractional Laplacians

Published online by Cambridge University Press:  16 January 2019

Roberta Musina
Affiliation:
Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università di Udine, via delle Scienze, 206 – 33100, Udine, Italy ([email protected])
Alexander I. Nazarov
Affiliation:
St. Petersburg Department of Steklov Institute, Fontanka 27, St. Petersburg 191023, Russia and St. Petersburg State University, Universitetskii pr. 28, St. Petersburg 198504, Russia ([email protected])

Abstract

We give a unified approach to strong maximum principles for a large class of nonlocal operators of order s ∈ (0, 1) that includes the Dirichlet, the Neumann Restricted (or Regional) and the Neumann Semirestricted Laplacians.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2019 

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