TY - BOOK AU - Struwe,Michael TI - Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems SN - 9873642093296 U1 - 515.79 PY - 2000/// CY - Berlin PB - Springer KW - CALCULO DE VARIACIONES KW - ECUACIONES DIFERENCIALES NO LINEALES KW - SISTEMAS HAMILTONIANOS N1 - I. The Direct Methods in the Calculus of Variations 1. Lower Semi-Continuity 2. Constraints 3. Compensated Compactness 4. The Concentration-Compactness Principle 5. Ekeland's Variational Principle 6. Duality 7. Minimization Problems Depending on Parameters Ch. II. Minimax Methods 1. The Finite Dimensional Case 2. The Palais-Smale Condition 3. A General Deformation Lemma 4. The Minimax Principle 5. Index Theory 6. The Mountain Pass Lemma and its Variants 7. Perturbation Theory 8. Linking 9. Parameter Dependence 10. Critical Points of Mountain Pass Type 11. Non-Differentiable Functionals 12. Ljusternik-Schnirelman Theory on Convex Sets Ch. III. Limit Cases of the Palais-Smale Condition 1. Pohozaev's Non-Existence Result 2. The Brezis-Nirenberg Result 3. The Effect of Topology 4. The Yamabe Problem 5. The Dirichlet Problem for the Equation of Constant Mean Curvature 6. Harmonic Maps of Riemannian Surfaces ER -