Neumann conditions for the higher order s-fractional Laplacian (−Δ)su with s>1. (April 2020)

• Record Type: Journal Article
• Authors: Barrios, Begoña; Montoro, Luigi; Peral, Ireneo; Soria, Fernando
• Is Part Of: Nonlinear analysis. Volume 193(2020)
• Publication Date: 2020-04
• Subjects: 35G10 -- 35R11 -- 60G22.; Nonlocal higher order fractional Laplacian -- Neumann problem; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.10.012
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we study a variational Neumann problem for the higher order fractional Laplacian ( − Δ ) s, s > 1 . In the process we introduce some nonlocal Neumann boundary conditions that appear in a natural way from a Gauss-like integration formula.