Abstract
The recent achievements concerning $m$-curvature equations gave a new point of view to the geometrical theory of mixed volumes of convex bodies which was developed by A.D. Aleksandrov in I938-I940. A principal goal of this paper is to pose corresponding variational problems correctly and to formulate sufficient conditions for the existence of minimizers.
Information
Published: 1 January 1990
First available in Project Euclid: 18 November 2014
zbMATH: 0701.49044
MathSciNet: MR1060116
Rights: Copyright © 1990, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
