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- World Scientific Publishing Company 2008; US$ 88.00 US$ 80.08
This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen–Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly... more...
- Springer US 2006; US$ 116.76
Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals.... more...
- Springer Basel 2011; US$ 84.91
Here is a modern account of the application of critical point theory, specifically Morse theory, to Lagrangian dynamics, with particular emphasis on the existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems. more...
Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills FieldsSpringer Basel 2013; US$ 56.25
This book offers an overview and new developments in harmonic and wave maps and Yang-Mills fields, and introduces biwave maps and bi-Yang-Mills fields. Also discusses exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields. more...
- Cambridge University Press 2002; US$ 124.00
Accessible and pedagogical introduction to the theory of harmonic maps, covering recent results and applications. more...
- Cambridge University Press 1997; US$ 44.00
University-level introduction that leads to topics of current research in the theory of harmonic maps. more...
- CRC Press 2004; US$ 159.95
Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory. Until now, however, no one had gathered these tools and results together into a unified, systematic survey of these advances. This book fills that gap. It provides a complete presentation of... more...
- World Scientific Publishing Company 2005; US$ 116.00 US$ 105.56
The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered include harmonic maps and generalized harmonic maps; certain perturbed... more...