Willem M. Minimax theorems

Basel: Birkhäuser, 1996. - 171 p.Differentiable functionals
Quantitative deformation lemma
Mountain pass theorem
Semilinear Dirichlet problem
Symmetry and compactness
Symmetric solitary waves
Subcritical Sobolev inequalities
Non symmetric solitary waves
Critical Sobolev inequality
Critical nonlinearities
Quantitative deformation lemma
Ekeland variational principle
General minimax principle
Semilinear Dirichlet problem
Location theorem
Critical nonlinearities
Equivariant deformation
Fountain theorem
Semilinear Dirichlet problem
Multiple solitary waves
A dual theorem
Concave and convex nonlinearities
Concave and critical nonlinearities
Ground states
Properties of critical values
Nodal solutions
Category
Relative category
Quantitative deformation lemma
Minimax theorem
Critical nonlinearities
Degree theory
Pseudogradient flow
Generalized linking theorem
Semilinear Schrödinger equation
Definition of solitary waves
Functional setting
Existence of solitary waves
Variational identity
Invariance by translations
Symmetric domains
Invariance by dilations
Symmetric domains
Appendix A : Superposition operator
Appendix B : Variational identities
Appendix C : Symmetry of minimizers
Appendix D : Topological degreeIndex of Notations