Verwandte Artikel zu Variational, Topological, and Partial Order Methods...

Variational, Topological, and Partial Order Methods with Their Applications - Softcover

 
9783642307102: Variational, Topological, and Partial Order Methods with Their Applications

Zu dieser ISBN ist aktuell kein Angebot verfügbar.

Inhaltsangabe

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-Ampère 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 RN.- 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.- W01,p(Ω) versus C01(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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

  • VerlagSpringer
  • Erscheinungsdatum2012
  • ISBN 10 3642307108
  • ISBN 13 9783642307102
  • EinbandPaperback
  • SpracheEnglisch
  • Kontakt zum HerstellerNicht verfügbar

(Keine Angebote verfügbar)

Buch Finden:



Kaufgesuch aufgeben

Sie finden Ihr gewünschtes Buch nicht? Wir suchen weiter für Sie. Sobald einer unserer Buchverkäufer das Buch bei AbeBooks anbietet, werden wir Sie informieren!

Kaufgesuch aufgeben

Weitere beliebte Ausgaben desselben Titels

9783642307089: Variational, Topological, and Partial Order Methods with Their Applications: 29 (Developments in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3642307086 ISBN 13:  9783642307089
Verlag: Springer, 2012
Hardcover