Branching solutions to one-dimensional variational problems
著者
書誌事項
Branching solutions to one-dimensional variational problems
World Scientific, c2001
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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