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Minimax theorems / / Michel Willem
| Minimax theorems / / Michel Willem |
| Autore | Willem Michel |
| Edizione | [1st ed. 1996.] |
| Pubbl/distr/stampa | Boston, Massachusetts : , : Birkhäuser, , [1996] |
| Descrizione fisica | 1 online resource (X, 165 p.) |
| Disciplina | 515.64 |
| Altri autori (Persone) | FanKy |
| Collana | Progress in Nonlinear Differential Equations and Their Applications |
| Soggetto topico |
Boundary value problems
Mathematical physics Maxima and minima |
| ISBN | 1-4612-4146-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Mountain pass theorem -- 1.1 Differentiable functionals -- 1.2 Quantitative deformation lemma -- 1.3 Mountain pass theorem -- 1.4 Semilinear Dirichlet problem -- 1.5 Symmetry and compactness -- 1.6 Symmetric solitary waves -- 1.7 Subcritical Sobolev inequalities -- 1.8 Non symmetric solitary waves -- 1.9 Critical Sobolev inequality -- 1.10 Critical nonlinearities -- 2 Linking theorem -- 2.1 Quantitative deformation lemma -- 2.2 Ekeland variational principle -- 2.3 General minimax principle -- 2.4 Semilinear Dirichlet problem -- 2.5 Location theorem -- 2.6 Critical nonlinearities -- 3 Fountain theorem -- 3.1 Equivariant deformation -- 3.2 Fountain theorem -- 3.3 Semilinear Dirichlet problem -- 3.4 Multiple solitary waves -- 3.5 A dual theorem -- 3.6 Concave and convex nonlinearities -- 3.7 Concave and critical nonlinearities -- 4 Nehari manifold -- 4.1 Definition of Nehari manifold -- 4.2 Ground states -- 4.3 Properties of critical values -- 4.4 Nodal solutions -- 5 Relative category -- 5.1 Category -- 5.2 Relative category -- 5.3 Quantitative deformation lemma -- 5.4 Minimax theorem -- 5.5 Critical nonlinearities -- 6 Generalized linking theorem -- 6.1 Degree theory -- 6.2 Pseudogradient flow -- 6.3 Generalized linking theorem -- 6.4 Semilinear Schrödinger equation -- 7 Generalized Kadomtsev-Petviashvili equation -- 7.1 Definition of solitary waves -- 7.2 Functional setting -- 7.3 Existence of solitary waves -- 7.4 Variational identity -- 8 Representation of Palais-Smale sequences -- 8.1 Invariance by translations -- 8.2 Symmetric domains -- 8.3 Invariance by dilations -- 8.4 Symmetric domains -- Appendix A: Superposition operator -- Appendix B: Variational identities -- Appendix C: Symmetry of minimizers -- Appendix D: Topological degree -- Index of Notations. |
| Record Nr. | UNINA-9910714153503321 |
Willem Michel
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| Boston, Massachusetts : , : Birkhäuser, , [1996] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson
| Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson |
| Autore | Anderson R. D. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 514 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Topology
Functional analysis Differential topology |
| Soggetto non controllato |
Anderson's theorem
Annihilator (ring theory) Automorphism Baire measure Banach algebra Banach manifold Banach space Bounded operator Cartesian product Characterization (mathematics) Cohomology Compact space Complement (set theory) Complete metric space Connected space Continuous function Convex set Coset Critical point (mathematics) Diagram (category theory) Differentiable manifold Differential topology Dimension (vector space) Dimension Dimensional analysis Dual space Duality (mathematics) Endomorphism Equivalence class Euclidean space Existential quantification Explicit formulae (L-function) Exponential map (Riemannian geometry) Fixed-point theorem Fréchet derivative Fréchet space Fuchsian group Function space Fundamental class Haar measure Hessian matrix Hilbert space Homeomorphism Homology (mathematics) Homotopy group Homotopy Inclusion map Infimum and supremum Lebesgue space Lefschetz fixed-point theorem Limit point Linear space (geometry) Locally convex topological vector space Loop space Mathematical optimization Measure (mathematics) Metric space Module (mathematics) Natural topology Neighbourhood (mathematics) Normal space Normed vector space Open set Ordinal number Paracompact space Partition of unity Path space Product topology Quantifier (logic) Quotient space (linear algebra) Quotient space (topology) Radon measure Reflexive space Representation theorem Riemannian manifold Schauder fixed point theorem Sign (mathematics) Simply connected space Space form Special case Stiefel manifold Strong operator topology Subcategory Submanifold Subset Tangent space Teichmüller space Theorem Topological space Topological vector space Topology Transfinite induction Transfinite Transversal (geometry) Transversality theorem Tychonoff cube Union (set theory) Unit sphere Weak topology Weakly compact |
| ISBN | 1-4008-8140-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES / Bessaga, C. -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES / Bessaga, C. / Kadec, M. I. -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE / Borsuk, Karel -- SOME THIN SETS IN FRÉCHET SPACES / Corson, H. H. -- A REMARK ON BANACH ANALYTIC SPACES / Douady, A. -- FIBRING SPACES OF MAPS / Eells, James -- AN APPROXIMATE MORSE-SARD THEOREM / Eells, James / McAlpin, John -- MORSE THEORY FOR CLOSED CURVES / Eliasson, Halldor I. -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES / Fan, Ky -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES / Geba, Kazimierz / Granas, Andrzej -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER / Glaeser, G. -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S / Granas, Andrzej -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS / Holmes, R. B. -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES / James, Robert C. -- ASYMPTOTIC FIXED POINT THEORY / Jones, G. Stephen -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES / Knill, Ronald J. -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS / Kuiper, Nicolaas H. -- FIXED POINT INDEX AND LEFSCHETZ NUMBER / Leray, Jean -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE / Lindenstrauss, Joram -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE / Rothe, E. H. -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES / Wong, Raymond Y. T. |
| Record Nr. | UNINA-9910154743103321 |
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Anderson R. D.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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