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Branching solutions to one-dimensional variational problems
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eBook
Branching solutions to one-dimensional variational problems
2001
Overview
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.
Publisher
World Scientific Publishing Co. Pte. Ltd,World Scientific,World Scientific Publishing Company,WORLD SCIENTIFIC,World Scientific Publishing
Subject
ISBN
9789810240608, 9810240600, 9789812810717, 9812810714
