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#### 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...

#### 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...

#### Critical Point Theory and Its Applications

Springer US 2006; US$ 129.00Since 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...

#### Sign-Changing Critical Point Theory

Springer US 2008; US$ 179.00This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis. It expands on a new theorem that has never before been seen in book form. more...

#### Critical Point Theory for Lagrangian Systems

Springer Basel 2011; US$ 99.00Here 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...

#### Harmonic Maps, Loop Groups, and Integrable Systems

Cambridge University Press 1997; US$ 44.00University-level introduction that leads to topics of current research in the theory of harmonic maps. 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...

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

CRC Press 2004; US$ 159.95Starting 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...

#### 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...