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]
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