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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xxi, 342 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 323-329) and index. |
| ISBN: | 9789812810717 9812810714 9810240600 9789810240608 1281956368 9781281956361 9786611956363 6611956360 |