Nonlinear fractional elliptic problem with singular term at the boundary
Boumediene Abdellaoui, Kheireddine Biroud, Ana Primo · Complex Variables and Elliptic Equations · 2018
Let Ω⊂RN be a bounded regular domain, 02s. We consider (−D)su=uqd2sin Ω,u>0in Ω,u=0in RN∖Ω, where 0<q≤2∗−1, 0<s<1 and d(x)=dist(x,∂Ω). The main goal of this paper is to analyse existence and non-existence of solution to problem (P) according to the values of s and q.