Skip navigation
Skip navigation

Rotationally symmetric solutions to the L p - Minkowski problem

Lu, Jian; Wang, Xu-Jia

Description

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
URI: http://hdl.handle.net/1885/73872
Source: Electronic Journal of Differential Equations
DOI: 10.1016/j.jde.2012.10.008

Download

File Description SizeFormat Image
01_Lu_Rotationally_symmetric_2013.pdf266.18 kBAdobe PDF


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator