Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

1. Sobolev Spaces
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

2. Nonlinear Operators
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

3. Nonsmooth Analysis
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

4. Degree Theory
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

5. Variational Principles and Critical Point Theory
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

6. Morse Theory
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

7. Bifurcation Theory
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

8. Regularity Theorems and Maximum Principles
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

9. Spectrum of Differential Operators
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

10. Ordinary Differential Equations
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

11. Nonlinear Elliptic Equations with Dirichlet Boundary Conditions
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

12. Nonlinear Elliptic Equations with Neumann Boundary Conditions
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou

Nyckelord: Mathematics, Partial Differential Equations, Calculus of Variations and Optimal Control, Optimization, Operator Theory, Ordinary Differential Equations, Global Analysis and Analysis on Manifolds