Please use this identifier to cite or link to this item: https://doi.org/10.2140/pjm.2006.225.361
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dc.titleClassification of solutions of certain fourth-order nonlinear elliptic equations in R{double-struck}4
dc.contributor.authorXingwang, X.U.
dc.date.accessioned2014-10-28T02:32:05Z
dc.date.available2014-10-28T02:32:05Z
dc.date.issued2006-06
dc.identifier.citationXingwang, X.U. (2006-06). Classification of solutions of certain fourth-order nonlinear elliptic equations in R{double-struck}4. Pacific Journal of Mathematics 225 (2) : 361-378. ScholarBank@NUS Repository. https://doi.org/10.2140/pjm.2006.225.361
dc.identifier.issn00308730
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/102990
dc.description.abstractWe consider the uniqueness of solutions of the equation Δ2 u = eu in fourdimensional Euclidean space. Our main result is that the solutions are all classical ones, provided that the energy of the solutions is finite and the diffusion of the solutions decays to zero at infinity. The method we used in this paper is known as the method of moving spheres.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.2140/pjm.2006.225.361
dc.sourceScopus
dc.subjectConformally invariant equation
dc.subjectMoving sphere method
dc.subjectSymmetry
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.2140/pjm.2006.225.361
dc.description.sourcetitlePacific Journal of Mathematics
dc.description.volume225
dc.description.issue2
dc.description.page361-378
dc.identifier.isiut000240148500009
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