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

By L. D. Pezzo, Alexander Quaas. 2016

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Abstract Our propose here is to provide a Hopf lemma and a strong minimum principle for weak supersolutions of ( − Δ p ) s u = c ( x ) | u | p − 2 u  in  Ω where Ω is an open set of R N , s ∈ ( 0 , 1 ) , p ∈ ( 1 , + ∞ ) , c ∈ C ( Ω ‾ ) and ( − Δ p ) s is the fractional p-Laplacian.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/45dbdf66375b28514712c59b0b5829dedbba47ff