$Strong maximum principles for fractional Laplacians$

Strong maximum principles for fractional Laplacians

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2019-10, Vol.149 (5), p.1223-1240
Hauptverfasser:	Musina, Roberta, Nazarov, Alexander I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Dirichlet problem Principles
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0308-2105 1473-7124
DOI:	10.1017/prm.2018.81