Differential Geometry, Calculus of Variations, and Their Applications
eBook - ePub

Differential Geometry, Calculus of Variations, and Their Applications

  1. 544 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Differential Geometry, Calculus of Variations, and Their Applications

About this book

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.

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Yes, you can access Differential Geometry, Calculus of Variations, and Their Applications by George M. Rassias,Themistocles M. Rassias in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2023
Print ISBN
9780824772673
eBook ISBN
9781000950724
Topic
Mathematics
Subtopic
Functional Analysis
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Series
  4. Title
  5. Copyright
  6. Preface
  7. Contents
  8. Contributors
  9. 1. Categories of Dynamical Models
  10. 2. Almost Universal Maps and the Almost Fixed Point Property
  11. 3. On the Natural Approach to Flow Problems
  12. 4. Differential Geometry and Lagrangian Formalism in the Calculus of Variations
  13. 5. The Geometry of Bicharacteristics and Stability of Solvability
  14. 6. The Simplest Nonlinear Yang-Mills Theory That Works
  15. 7. Euler, Morse, and the Calculus of Variations
  16. 8. The Birth and Early Developments of Padé Approximants
  17. 9. On the Approximation of Solutions of Quasivariational Inequalities with Application to an Abstract Obstacle Problem
  18. 10. Helmholtz Decomposition of Wp,s Vector Fields
  19. 11. Nonlinear Dispersive Waves and Variational Principles
  20. 12. A Priori Growth and Hölder Estimates for Harmonic Mappings
  21. 13. Conservation Laws in Gauge Field Theories
  22. 14. The Borel Spectral Sequence: Some Remarks and Applications
  23. 15. Newton, Euler, and Poe in the Calculus of Variations
  24. 16. Stability of Minimum Points for Problems with Constraints
  25. 17. Léonhard Euler: Mathematical Modeller and Model for Mathematicians
  26. 18. Noncommutative Calculus of Variations
  27. 19. On the Role of Reciprocity Conditions in the Formulation of Conservation Laws and Variational Principles
  28. 20. Variational Principles in Soliton Physics
  29. 21. Some Finite Codimensional Lie Subgroups of Diffω(M)
  30. 22. Exterior Forms and Optimal Control Theory
  31. 23. The Range of Relative Harmonic Dimensions
  32. 24. The Coincidence Set for Two-Dimensional Area Minimizing Surfaces in Rn Which Avoid a Convex Obstacle
  33. 25. On the Basins of Attraction of Gradient Vector Fields
  34. 26. Global Aspects of the Continuation Method
  35. 27. Applications of Smale Theory to the n-Body Problem of Mechanics-Astronomy
  36. 28. On the Morse-Smale Index Theorem for Minimal Surfaces
  37. 29. A Cartan Form for the Field Theory of Carathéodory in the Calculus of Variations of Multiple Integrals
  38. 30. The Ky Fan Minimax Principle, Sets with Convex Sections, and Variational Inequalities
  39. 31. Some Remarks About Variational Problems with Constraints
  40. 32. Inverse Problem: Its General Solution
  41. 33. On the Stability of a Functional Which Is Approximately Additive or Approximately Quadratic on A-Orthogonal Vectors
  42. Index