Branching Solutions to One-dimensional Variational Problems by A.O. Ivanov & A.A. Tuzhilin

Branching Solutions to One-dimensional Variational Problems This study deals with the new class of one-dimensional variational problems - the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) it investigates extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane.
Author(s) : Format : Hardback Book
ISBN-10 : 9810240600 ISBN-13 : 9789810240608
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Product Details:

Country Publication : Singapore

Publication Date : 01/01/2001

Publisher : World Scientific Publishing Co Pte Ltd

Page Length : 364mm

Page Size : 230mm