# Variational inequalities for the fractional Laplacian

Research paper by Roberta Musina, Alexander I. Nazarov, Konijeti Sreenadh

Indexed on: 23 Nov '15Published on: 23 Nov '15Published in: Mathematics - Analysis of PDEs

#### Abstract

In this paper we study the obstacle problems for the fractional Lapalcian of order $s\in(0,1)$ in a bounded domain $\Omega\subset\mathbb R^n$, under mild assumptions on the data.