Branching Solutions To One-dimensional Variational Problems
Format: Print Book
ISBN: 9789810240608
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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.
Format: Hardcover
No of Pages: 364
Imprint: World Scientific
Publication date: 20010118