Affiliation:
1. School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, China
Abstract
This paper deals with on the continuity of the solution to the Minkowski
problem for Lp torsional measure. For p ? (1, n + 2) ? (n + 2,?), we show
that a sequence of convex bodies in Rn is convergent in Hausdorff metric if
the sequence of the Lp torsional measures (associated with these convex
bodies) is weakly convergent. Moreover, we also prove that the solution to
the Minkowski problem for Lp torsional measure is continuous with respect to
p.
Publisher
National Library of Serbia