Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition

We look for solutions of (-△)s⁢u+f⁢(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1⁢(Ω){L^{1}(\Omega)} and higher order with respect to dist(x,∂Ω)s-1{\o...

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Bibliographic Details
Main Author: Abatangelo Nicola
Format: Article
Language:English
Published: De Gruyter 2017-11-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2015-0150