Variational inequalities for the spectral fractional Laplacian

Abstract

In this paper we study the obstacle problems for the Navier (spectral) fractional Laplacian ${\left(-{\Delta }_{\Omega }\right)}^s$ of order $s\in (0,1)$, in a bounded domain $\Omega \subset {\mathbb{R}}^n$.

20 pages

References in corpus (2)

• Regularity of spectral fractional Dirichlet and Neumann problems
• On fractional Laplacians -- 3

Cited by in corpus (2)

• On a Class of Nonlocal Obstacle Type Problems Related to the Distributional Riesz Fractional Derivative
• The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations