Author | Struwe, Michael. author |
---|---|
Title | Variational Methods [electronic resource] : Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems / by Michael Struwe |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2008 |
Connect to | http://dx.doi.org/10.1007/978-3-540-74013-1 |
Descript | XX, 302 p. online resource |
The Direct Methods in the Calculus of Variations -- Lower Semi-Continuity -- Constraints -- Compensated Compactness -- The Concentration-Compactness Principle -- Ekeland's Variational Principle -- Duality -- Minimization Problems Depending on Parameters -- Minimax Methods -- The Finite Dimensional Case -- The Palais-Smale Condition -- A General Deformation Lemma -- The Minimax Principle -- Index Theory -- The Mountain Pass Lemma and its Variants -- Perturbation Theory -- Linking -- Parameter Dependence -- Critical Points of Mountain Pass Type -- Non-Differentiable Functionals -- Ljusternik-Schnirelman Theory on Convex Sets -- Limit Cases of the Palais-Smale Condition -- Pohozaev's Non-Existence Result -- The Brezis-Nierenberg Result -- The Effect of Topology -- The Yamabe Problem -- The Dirichlet Problem for the Equation of Constant Mean Curvature -- Harmonic Maps of Riemannian Surfaces -- Appendix A -- Appendix B -- Appendix C -- References -- Index