Uniform bound and a non-existence result for Lichnerowicz equation in the whole n-space

Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.crma.2009.04.017

Title:	Uniform bound and a non-existence result for Lichnerowicz equation in the whole n-space
Authors:	Ma, L. Xu, X.
Issue Date:	Jul-2009
Citation:	Ma, L., Xu, X. (2009-07). Uniform bound and a non-existence result for Lichnerowicz equation in the whole n-space. Comptes Rendus Mathematique 347 (13-14) : 805-808. ScholarBank@NUS Repository. https://doi.org/10.1016/j.crma.2009.04.017
Abstract:	In this Note, we give a uniform bound and a non-existence result for positive solutions to the Lichnerowicz equation in Rn. In particular, we show that positive smooth solutions to:Δ u + f (u) = 0, u > 0, in Rn wheref (u) = u- p - 1 - up - 1, are uniformly bounded. To cite this article: L. Ma, X. Xu, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences.
Source Title:	Comptes Rendus Mathematique
URI:	http://scholarbank.nus.edu.sg/handle/10635/104423
ISSN:	1631073X
DOI:	10.1016/j.crma.2009.04.017
Appears in Collections:	Staff Publications

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