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Characterization of balls in terms of Bessel-potential integral equation

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dc.contributor.authorHan, Xiaolong
dc.contributor.authorLu, Guozhen
dc.contributor.authorZhu, Jiuyi
dc.date.accessioned2016-02-24T22:42:09Z
dc.date.issued2012
dc.date.updated2016-06-14T09:13:24Z
dc.description.abstractFor a bounded C1 domain O ? RN , we consider the Bessel potential u(x) = O ga(x - y)dy for 2 a < N. We show that u = constant on ?O if and only if O is a ball. More general Bessel-potential integral equation u(x) = O ga(x - y)h u(y) dy is also studied. Similar characterization of balls holds under certain assumptions on u and h(u(y)). We will use an integral form of the celebrated Alexandroff (1962) [2], Serrin (1971) [28], and Gidas, Ni and Nirenberg (1979) [16], (1981) [17] moving plane method developed by Chen, Li and Ou (2006) in [7] to establish our main results.
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/1885/98964
dc.publisherAcademic Press
dc.sourceJournal of Differential Equations
dc.subjectKeywords: 31B10; 35N25; Bessel potential; Characterizations of balls; Fractional differential equations; Moving plane method in integral form; Overdetermined problem
dc.titleCharacterization of balls in terms of Bessel-potential integral equation
dc.typeJournal article
local.bibliographicCitation.issue2
local.bibliographicCitation.lastpage1602
local.bibliographicCitation.startpage1589
local.contributor.affiliationHan, Xiaolong, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationLu, Guozhen, Beijing Normal University, Beijing, China 100875 and Wayne State University, Detroit, MI 48202, USA
local.contributor.affiliationZhu, Jiuyi, Wayne State University
local.contributor.authoruidHan, Xiaolong, u5276199
local.description.notesImported from ARIES
local.identifier.absfor010109 - Ordinary Differential Equations, Difference Equations and Dynamical Systems
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu5328909xPUB38
local.identifier.citationvolume252
local.identifier.doi10.1016/j.jde.2011.07.037
local.identifier.scopusID2-s2.0-80655149018
local.type.statusPublished Version

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