Branching solutions to one-dimensional variational problems
Alexandr O. Ivanov, A. A. Tuzhilin
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.
Kategori:
Tahun:
2001
Penerbit:
World Scientific
Bahasa:
english
Halaman:
365
ISBN 10:
9812810714
ISBN 13:
9789812810717
Fail:
DJVU, 2.29 MB
IPFS:
,
english, 2001