Click Here to Download: https://ouo.io/cNEeCI Branching Solutions To One-dimensional Variational Problems By: Ivanov Alexandr Publisher: World Scientific Print ISBN: 9789810240608, 9810240600 eText ISBN: 9789812810717, 9812810714 Format: PDF Available from $ 252.00 USD SKU 9789812810717 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.
