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.
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Maße
Höhe: 225 mm
Breite: 157 mm
Dicke: 27 mm
Gewicht
ISBN-13
978-981-02-4060-8 (9789810240608)
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Schweitzer Klassifikation
Autor*in
Moscow State Univ, Russia
Moscow State Univ, Russia
Preliminary results; networks extremality criteria; linear networks in RN; extremals of length type functionals - the case of parametric networks; extremals of functionals generated by norms.
