内容

目次

The Direct Methods in the Calculus of Variations.- LowerSemi-Continuity.- Constraints.- Compensated Compactness.- TheConcentration-Compactness Principle.- Ekeland's Variational Principle.-Duality.- Minimization Problems Depending on Parameters.- Minimax Methods.-The Finite Dimensional Case.- The Palais-Smale Condition.- A GeneralDeformation Lemma.- The Minimax Principle.- Index Theory.- The Mountain PassLemma and its Variants.- Perturbation Theory.- Linking.- ParameterDependence.- Critical Points of Mountain Pass Type.- Non-DifferentiableFunctionals.- Ljusternik-Schnirelman Theory on Convex Sets.- Limit Cases ofthe Palais-Smale Condition.- Pohozaev's Non-Existence Result.- TheBrezis-Nierenberg Result.- The Effect of Topology.- The Yamabe Problem.- TheDirichlet Problem for the Equation of Constant Mean Curvature.- Harmonic Mapsof Riemannian Surfaces.- Appendix A.- Appendix B.- Appendix C.- References.-Index.