vi CONTENTS
3.8. Nontrivial Critical Points 59
3.9. Mountain Pass Points 60
3.10. Three Critical Points Theorem 60
3.11. Cohomological Local Splitting 61
3.12. Even Functionals and Multiplicity 62
3.13. Pseudo-Index 63
3.14. Functionals on Finsler Manifolds 65
Chapter 4. p-Linear Eigenvalue Problems 71
4.1. Variational Setting 72
4.2. Minimax Eigenvalues 74
4.3. Nontrivial Critical Groups 76
Chapter 5. Existence Theory 79
5.1. p-Sublinear Case 79
5.2. Asymptotically p-Linear Case 80
5.3. p-Superlinear Case 84
Chapter 6. Monotonicity and Uniqueness 87
Chapter 7. Nontrivial Solutions and Multiplicity 89
7.1. Mountain Pass Solutions 89
7.2. Solutions via a Cohomological Local Splitting 90
7.3. Nonlinearities that Cross an Eigenvalue 91
7.4. Odd Nonlinearities 93
Chapter 8. Jumping Nonlinearities and the Dancer-Fuˇık Spectrum 97
8.1. Variational Setting 99
8.2. A Family of Curves in the Spectrum 100
8.3. Homotopy Invariance of Critical Groups 102
8.4. Perturbations and Solvability 105
Chapter 9. Indefinite Eigenvalue Problems 109
9.1. Positive Eigenvalues 109
9.2. Negative Eigenvalues 111
9.3. General Case 112
9.4. Critical Groups of Perturbed Problems 113
Chapter 10. Anisotropic Systems 117
10.1. Eigenvalue Problems 119
10.2. Critical Groups of Perturbed Systems 125
10.3. Classification of Systems 128
Bibliography 135
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