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Critical Point Theory and Its Applications
Springer-Verlag New York Inc 2006; US$ 84.99Presents 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...
Critical Point Theory for Lagrangian Systems
Springer 2011; US$ 79.99Lagrangian 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...
Harmonic Mappings in the Plane
Cambridge University Press 2004; US$ 82.00This first comprehensive account of the theory of planar harmonic mappings, meant for non-specialists, treats both the generalizations of univalent analytic functions and the connections with minimal surfaces. Included are background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper... more...
Harmonic Maps, Conservation Laws and Moving Frames
Cambridge University Press 2002; US$ 118.00An accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book will be of particular interest to graduate students and researchers in geometry, analysis of partial differential equations and mathematical physics. more...
The Mountain Pass Theorem
Cambridge University Press 2003; US$ 81.00This book presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The coverage includes standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological index theory; perturbations from symmetry; convexity... more...
Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
CRC Press 2004; US$ 139.95Gasinski (computer science, Jagiellonian University) and Papageorgiou (mathematics, Greek National Technical University) develop the basic theories on the existence, characterization, and multiplicity of critical points for non-differentiable functionals, and use them to study nonlinear boundary value problems of ordinary and partial (elliptic) dif more...
Partial Regularity For Harmonic Maps And Related Problems
World Scientific Publishing Company 2005; US$ 103.00The 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...
Sign-Changing Critical Point Theory
Springer 2008; US$ 119.99Many 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...
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