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  • Produktbild: Variational, Topological, and Partial Order Methods with Their Applications
  • Produktbild: Variational, Topological, and Partial Order Methods with Their Applications
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Variational, Topological, and Partial Order Methods with Their Applications

Aus der Reihe Developments in Mathematics
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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

18.09.2012

Abbildungen

XII, 332 p.

Verlag

Springer Berlin

Seitenzahl

332

Maße (L/B/H)

24,1/16/2,4 cm

Gewicht

682 g

Auflage

2013

Sprache

Englisch

ISBN

978-3-642-30708-9

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

18.09.2012

Abbildungen

XII, 332 p.

Verlag

Springer Berlin

Seitenzahl

332

Maße (L/B/H)

24,1/16/2,4 cm

Gewicht

682 g

Auflage

2013

Sprache

Englisch

ISBN

978-3-642-30708-9

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Variational, Topological, and Partial Order Methods with Their Applications
  • Produktbild: Variational, Topological, and Partial Order Methods with Their Applications
  • 1 Preliminaries.- Sobolev spaces and embedding theorems.- Critical point.- Cone and partial order.- Brouwer Degree.- Compact map and Leray-Schauder Degree.- Fredholm operators.- Fixed point index.- Banach's Contract Theorem, Implicit Functions Theorem.- Krein-Rutman theorem.- Bifurcation theory.- Rearrangements of sets and functions.- Genus and Category.- Maximum principles and symmetry of solution.- Comparison theorems.- 2 Cone and Partial Order Methods.- Increasing operators.- Decreasing operators.- Mixed monotone operators.- Applications of mixed monotone operators.- Further results on cones and partial order methods.- 3 Minimax Methods.- Mountain Pass Theorem and Minimax Principle.- Linking Methods.- Local linking Methods.- 4 Bifurcation and Critical Point.- Introduction.- Main results with parameter.- Equations without the parameter.- 5 Solutions of a Class of Monge-Amp è re Equations.- Introduction.- Moving plane argument.- Existence and non-existence results.- Bifurcation and the equation with a parameter.- Appendix.- 6 Topological Methods and Applications.- Superlinear system of integral equations and applications.- Existence of positive solutions for a semilinear elliptic system.- 7 Dancer-Fučik Spectrum.- The spectrum of a self-adjoint operator.- Dancer-Fučik Spectrum on bounded domains.- Dancer-Fučik point spectrum on R N .- Dancer-Fučik spectrum and asymptotically linear elliptic problems.- 8 Sign-changing Solutions.- Sign-changing solutions for superlinear Dirichlet problems.- Sign-changing solutions for jumping nonlinear problems.- 9 Extension of Brezis-Nirenberg's Results and Quasilinear Problems.- Introduction.- W 0 1, p (Ω) versus C 0 1 (Ω) local minimizers.- Multiplicity results for the quasilinear problems.- Uniqueness results.- 10 Nonlocal Kirchhoff Elliptic Problems.- Introduction.- Yang index and critical groups to nonlocal problems.-Variational methods and invariant sets of descent flow.- Uniqueness of solution for a class of Kirchhoff-type equations.- 11 Free Boundary Problems, System of equations for Bose-Einstein Condensate and Competing Species.- Competing system with many species.- Optimal partition problems.- Schrödinger systems from Bose-Einstein condensate.- Bibliography.