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Rotationally symmetric solutions to the L p - Minkowski problem

Lu, Jian; Wang, Xu-Jia


In this paper we study the Lp-Minkowski problem for p=-n-1, which corresponds to the critical exponent in the Blaschke-Santalo inequality. We first obtain volume estimates for general solutions, then establish a priori estimates for rotationally symmetric solutions by using a Kazdan-Warner type obstruction. Finally we give sufficient conditions for the existence of rotationally symmetric solutions by a blow-up analysis. We also include an existence result for the Lp-Minkowski problem which...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Electronic Journal of Differential Equations
DOI: 10.1016/j.jde.2012.10.008


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