Branching Solutions to One-dimensional Variational Problems
| Author | : Alexander O. Ivanov |
| Publisher | : World Scientific |
| Total Pages | : 365 |
| Release | : 2001 |
| ISBN-10 | : 9789810240608 |
| ISBN-13 | : 9810240600 |
| Rating | : 4/5 (600 Downloads) |
Book Synopsis Branching Solutions to One-dimensional Variational Problems by : Alexander O. Ivanov
Download or read book Branching Solutions to One-dimensional Variational Problems written by Alexander O. Ivanov and published by World Scientific. This book was released on 2001 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.