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Science/Engineering Branching Solutions to One-Dimensional Variational Problems

Posted on 2010-03-15




Name:Science/Engineering Branching Solutions to One-Dimensional Variational Problems
ASIN/ISBN:9810240600
Language:English
File size:7 Mb
ISBN: 9810240600
Publish Date: 2001-04
File Type: PDF
Pages: 364 pages
File Size: 7 Mb
Other Info: World Scientific Publishing Company
   Science/Engineering Branching Solutions to One-Dimensional Variational Problems

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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.



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