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#### Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

Springer 2013; US$ 79.95Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists... more...

#### Critical Point Theory for Lagrangian Systems

Springer 2011; US$ 99.00Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange's reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal points of an action functional. The development of critical... more...

#### Sign-Changing Critical Point Theory

Springer 2008; US$ 179.00Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical... more...

#### The Analysis of Harmonic Maps and Their Heat Flows

World Scientific Publishing Company 2008; US$ 135.00This 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...

#### Critical Point Theory and Its Applications

Springer-Verlag New York Inc 2006; US$ 129.00Presents some of the research in the area of critical point theory. This book describes the methods and presents various applications. The topics covered include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. more...

#### Partial Regularity For Harmonic Maps And Related Problems

World Scientific Publishing Company 2005; US$ 189.00The 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...

#### Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

Taylor and Francis 2004; US$ 154.95Starting 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...

#### Harmonic Mappings in the Plane

Cambridge University Press 2004; US$ 92.00A comprehensive account, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. more...

#### The Mountain Pass Theorem

Cambridge University Press 2003; US$ 92.00This 2003 book presents min-max methods through a study of the different faces of the Mountain Pass Theorem of Ambrosetti and Rabinowitz. more...

#### Harmonic Maps, Conservation Laws and Moving Frames

Cambridge University Press 2002; US$ 124.00Accessible and pedagogical introduction to the theory of harmonic maps, covering recent results and applications. more...

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