Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain. (July 2016)

• Record Type: Journal Article
• Authors: Li, Dongsheng; Li, Zhenjie
• Is Part Of: Nonlinear analysis. Volume 139(2016)
• Page Start: 196
• Page End: 210
• Publication Date: 2016-07
• Subjects: 35B05 -- 35B50 -- 35N05 -- 35S15; The fractional Laplacian -- The overdetermined problems -- Radial symmetry -- Method of moving planes; 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.2016.02.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, by the method of moving planes, we extend the Serrin-type overdetermined problem to the fractional Laplacian equation on the exterior set of a multiply connected domain and the annular domain.