Branching Solutions To One-dimensional Variational Problems
Book Details
Format
Hardback or Cased Book
ISBN-10
9810240600
ISBN-13
9789810240608
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Jan 18th, 2001
Print length
364 Pages
Product Classification:
Calculus of variations Differential & Riemannian geometry Topology
Ksh 25,000.00
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This study deals with the new class of one-dimensional variational problems - the problems with branching solutions. It investigates extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented.
This book 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) we investigate 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.
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