Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.aim.2004.07.004
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dc.titleExact solutions of nonlinear conformally invariant integral equations in R3
dc.contributor.authorXu, X.
dc.date.accessioned2014-10-28T02:34:39Z
dc.date.available2014-10-28T02:34:39Z
dc.date.issued2005-07-10
dc.identifier.citationXu, X. (2005-07-10). Exact solutions of nonlinear conformally invariant integral equations in R3. Advances in Mathematics 194 (2) : 485-503. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2004.07.004
dc.identifier.issn00018708
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103219
dc.description.abstractIn this paper, we will study the entire positive C4 solutions of the geometrically interesting integral equation: u(x) = 1/8π ∫R3 x-y u-q(y) dy with 0 < q in R3. We will show that there are positive entire solutions which take the form u(x) = c(1+ x 2) 1/2 up to dilation and translations, only when q = 7. © 2004 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.aim.2004.07.004
dc.sourceScopus
dc.subjectConformally invariant integral equation
dc.subjectExact solution
dc.subjectMethod of moving spheres
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.aim.2004.07.004
dc.description.sourcetitleAdvances in Mathematics
dc.description.volume194
dc.description.issue2
dc.description.page485-503
dc.identifier.isiut000229660900010
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