This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
1. Categories of Dynamical Models
2. Almost Universal Maps and the
Almost Fixed Point Property
3. On the Natural Approach to Flow Problems
4.
Differential Geometry and Lagrangian Formalism
5. The Geometry of
Bicharacteristics and Stability of Solvability
6. The Simplest Nonlinear
Yang-Mills Theory that Works
7. Euler, Morse, and the Calculus of Variations
8. The Birth and Early Developments of Pade Approximants
9. On the
Approximation of Solutions of Quasivariatlonal Inequalities with Application
to an Abstract Obstacle Problem
10. Helmholtz Decomposition of Wp,S Vector
Fields
11. Nonlinear Dispersive Waves and Variational Principles
12. A Priori
Growth and Hslder Estimates for Harmonic Mappings
13. Conservation Laws in
Gauge Field Theories
14. The Borel Spectral Sequence: Some Remarks and
Applications
15. Newton, Euler, and Poe in the Calculus of Variations
16.
Stability of Minimum Points for Problems with Constraints
17. Leonhard Euler:
Mathematical Modeller and Model for Mathematicians
18. Noncommutative
Calculus of Variations
19. On the Role of Reciprocity Conditions in the
Formulation of Conservation Laws and Variational Principles
20. Variational
Principles in Soliton Physics
21. Some Finite Codimensional Lie Subgroups of
DiffW(M)
22. Exterior Forms and Optimal Control Theory
23. The Range of
Relative Harmonic Dimensions
24. The Coincidence Set for Two-Dimensional Area
Minimizing Surfaces in Rn Which Avoid a Convex Obstacle
25. On the Basins of
Attraction of Gradient Vector Fields
26. Global Aspects of the Continuation
Method
27. Applications of Smale Theory to the n-Body Problem of
MechanIcsAstronomy
28. On the Morse-Smale Index Theorem for Minimal Surfaces
29. A Cartan Form for the Field Theory of Carathodory in the Calculus of
Variations of Multiple Integrals
30. The Ky Fan Minimax Principle, Sets with
Convex Sections, and Variational Inequalities
31. Some Remarks about
Variational Problems with Constraints Gerhard Strohmer
32. Inverse Problem:
Its General Solution
33. On the Stability of a Functional Which is
Approximately Additive or Approximately Quadratic on A-Orthogonal Vectors
George M. Rassias
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