Front Cover; Nonlinear Differential Equations; Copyright Page; Table of Contents; PREFACE; LIST OF SYMBOLS; CHAPTER I. SOME EXAMPLES TO BEGIN WITH; Section 1. Various Notations. Linear Equations; Section 2. Nonlinear Equations; Section 3. Nonlinear Systems; Section 4. Further Nonlinear Problems; Section 5. A Free Boundary Problem. The Plate Equation; CHAPTER II. INTRODUCTION; Section 6. Second Order Equations; Section 7. Higher Order Equations; Section 8. Spaces of Continuous Functions. Solution of a Differential Equation; Section 9. Boundary Conditions

Section 21. Second Derivative of a FunctionalSection 22. Lagrange Conditions; Section 23. Convex Functionals; Section 24. Weak Convergence and Weak Compactness; Section 25. Reflexive Spaces; Section 26. Existence Theorems; Section 27. Minimal Surfaces; Section 28. Excursion on Numerical Methods; CHAPTER V. THE TOPOLOGICAL METHOD; Section 29. Existence Theorems; Section 30. The Brouwer and the Leray-Schauder Degree of a Mapping; Section 31. General Boundary Conditions for Second Order Ordinary Differential Equations; Section 32. Summary of Chapters IV and V. Some Additional Remarks

CHAPTER VI. NONCOERCIVE PROBLEMSSection 33. Vanishing Nonlinearities. Regular Case; Section 34. Vanishing Nonlinearities. Singular Case; Section 35. Jumping Nonlinearities with Finite Jumps; Section 36. Jumping Nonlinearities with Infinite Jumps; Section 37. Rapid Nonlinearities; Section 38. Periodic Problems; CHAPTER VII. VARIATIONAL INEQUALITIES; Section 39. Formulation of the Problem; Section 40. More on the Definition of the Solution of a Variational Inequality; Section 41. Examples; Section 42. Some Special Results; Section 43. Existence Theorems; REFERENCES; INDEX