Nonlinear fractional elliptic problem with singular term at the boundary
Analysis of PDEs
2018-06-11 v2
Abstract
Let be a bounded regular domain, and . We consider (P)\left\{ \begin{array}{rcll} (-\Delta)^s u &= & \frac{u^{q}}{d^{2s}} & \text{ in }\Omega , \\ u &> & 0 & \text{in }\Omega , \\ u & = & 0 & \text{ in }\mathbb{R}^N\setminus\Omega ,% \end{array}% \right. where , and . {The main goal } of this paper is to analyze existence and non existence of solution to problem according to the value of and .
Keywords
Cite
@article{arxiv.1710.00388,
title = {Nonlinear fractional elliptic problem with singular term at the boundary},
author = {Boumediene Abdellaoui and kheireddine Biroud and Ana Primo},
journal= {arXiv preprint arXiv:1710.00388},
year = {2018}
}