Branching Solutions To One-Dimensional Variational Problems

Branching Solutions To One-Dimensional Variational Problems

Hardback (18 Jan 2001)

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Publisher's Synopsis

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.

Book information

ISBN: 9789810240608
Publisher: World Scientific
Imprint: World Scientific Publishing
Pub date:
Language: English
Number of pages: 364
Weight: 635g
Height: 230mm
Width: 157mm
Spine width: 27mm