Boundary Singularities of Solutions to Semilinear Fractional Equations
We prove the existence of a solution of (-Δ)su+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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2018-04-01
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Series: | Advanced Nonlinear Studies |
Subjects: | |
Online Access: | https://doi.org/10.1515/ans-2017-6048 |