Strong maximum principles for fractional Laplacians

Abstract

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

18 pages; this version is enlarged

References in corpus (1)

• A Hopf's lemma and a strong minimum principle for the fractional $p$-Laplacian

Cited by in corpus (8)

• A nonlocal supercritical Neumann problem
• On weak solutions to a fractional Hardy-Hénon equation: Part II: Existence
• On the strong maximum principle for nonlocal operators
• Sobolev inequalities for Neumann Laplacians on half spaces
• The effect of curvature in fractional Hardy--Sobolev inequality with the Spectral Dirichlet Laplacian
• Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded
• On a weak maximum principle for a class of fractional diffusive equations
• Maximum principles, Liouville theorem and symmetry results for the fractional $g-$Laplacian