Variational Methods

I: Partial Differential Equations and Mathematical Physics.- 1. The (Non)continuity of Symmetric Decreasing Rearrangement.- 2. Counting Singularities in Liquid Crystals.- 3. Relaxed Energies for Harmonic Maps.- 4. Topological Results on Fredholm Maps and Application to a Superlinear Differential Equation.- 5. Existence Results for Some Quasilinear Elliptic Equations.- 6. A New Setting for Skyrme's Problem.- 7. Relative Category and the Calculus of Variations.- 8. Point and Line Singularities in Liquid Crystals.- 9. The Variety of Configurations of Static Liquid Crystals.- 10. Existence of Multiple Solutions of Semilinear Elliptic Equations in RN.- 11. Lagrange Multipliers, Morses Indices and Compactness.- 12. Elliptic Equations with Critical Growth and Moser's Inequality.- 13. Evolution Equations with Discontinuous Nonlinearities and Non-Convex Constraints.- 14. Nonlinear Variational Two-Point Boundary Value Problems.- 15. Some Relative Isoperimetric Inequalities and Applications to Nonlinear Problems.- II: Partial Differential Equations and Problems in Geometry.- 16. Approximation in Sobolev Spaces Between Two Manifolds and Homotopy Groups.- 17. The "Magic" of Weitzenbock Formulas.- 18. A Remark on Minimal Surfaces with Corners.- 19. Extremal Surfaces of Mixed Type in Minkowski Space Rn+1.- 20. Convergence of Minimal Submanifolds to a Singular Variety.- 21. Harmonic Diffeomorphisms Between Riemannian Manifolds.- 22. Surfaces of Minimal Area Supported by a Given Body in ?3.- 23. Calibrations and New Singularities in Area-Minimizing Surfaces: A Survey.- 24. Harmonic Maps with Free Boundaries.- 25. Global Existence of Partial Regularity Results for the Evolution of Harmonic Maps.- III: Hamiltonian Systems.- 26. Multiple Periodic Trajectories in a Relativistic Gravitational Field.- 27. Periodic Solutions of Some Problems of 3-Body Type.- 28. Periodic Solutions of Dissipative Dynamical Systems.- 29. Periodic Trajectories for the Lorentz-Metric of a Static Gravitational Field.- 30. Morse Theory for Harmonic Maps.- 31. Morse Theory and Existence of Periodic Solutions of Elliptic Type.- 32. Periodic Solutions of a Nonlinear Second Order System.- 33. Existence of Multiple Brake Orbits for a Hamiltonian System.