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|Title:||Some Remarks Related to De Giorgi's Conjecture||Contributor(s):||Du, Yihong (author); Ma, Li (author)||Publication Date:||2003||Handle Link:||https://hdl.handle.net/1959.11/3465||Abstract:||For several classes of functions including the special case f(u)=u-u³, we obtain boundedness and symmetry results for solutions of the problem -∆u=f(u) defined on Rⁿ. Our results complement a number of recent results related to a conjecture of De Giorgi.||Publication Type:||Journal Article||Source of Publication:||Proceedings of the American Mathematical Society, 131(8), p. 2415-2422||Publisher:||American Mathematical Society||Place of Publication:||United States||ISSN:||1088-6826||Field of Research (FOR):||010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems||Socio-Economic Outcome Codes:||970101 Expanding Knowledge in the Mathematical Sciences||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Other Links:||http://www.jstor.org/stable/info/1194269||Statistics to Oct 2018:||Visitors: 73
|Appears in Collections:||Journal Article|
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