Boundary Singularities of Solutions to Semilinear Fractional Equations

We prove the existence of a solution of (-Δ)s⁢u+f⁢(u)=0{(-\Delta)^{s}u+f(u)=0} in a smooth bounded domain Ω with a prescribed boundary value μ in the class of Radon measures for a large class of continuous functions f satisfying a weak singularity condition expressed under an integral form. We study...

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Bibliographic Details
Main Authors: Nguyen Phuoc-Tai, Véron Laurent
Format: Article
Language:English
Published: De Gruyter 2018-04-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-6048