| Department of Geometry |
| Bolyai Institute, Faculty of Science, University of Szeged |
| Department of Geometry |
| Bolyai Institute, Faculty of Science, University of Szeged |
The regularity of the solution of the $L_p$ dual Minkowski problem
The Department of Geometry is pleased to divulge that
Ferenc Fodor
gives a lecture at the Kerékjártó Seminar with title
Date and place of the lecture is:
Abstract of the lecture:
The $L_p$ dual Minkowski problem seeks, for given $p$ and $q$, necessary and sufficient conditions under which a Borel measure on the $n$-dimensional sphere is the $L_p$ $q$th dual curvature measure of a convex body $K$. This problem, recently formulated by Lutwak, Yang and Zhang, is a quite wide generalization of the classical Minkowski problem that includes many earlier investigated versions of the question.
In this talk we will discuss the smoothness of the boundary of a solution of the $L_p$ dual Minkowski problem in the case when $p>1$ and $q>0$ with the help of the corresponding Monge-Ampère equation using results of Caffarelli.
This talk is based on joint work with K.J. Böröczky (MTA Rényi Institute).
