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  • Produktbild: Linking Methods in Critical Point Theory
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Linking Methods in Critical Point Theory

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.07.1999

Verlag

Birkhäuser Boston

Seitenzahl

294

Maße (L/B/H)

24,1/16/2,2 cm

Gewicht

621 g

Auflage

1999

Sprache

Englisch

ISBN

978-0-8176-4095-8

Beschreibung

Rezension

"The main merit of this work is the utmost clearness through which the author explains some subjects connected with very strong technical difficulties... The particular way used...to introduce the basic aspects of linking methods will be very encouraging and stimulating for young researchers... The book may be warmly recommended to all specialists in this fascinating field of current interest and growing importance."


--ZAA


"The book is addressed to mathematicians and students interested in critical points in any context...recommended also for researchers in the fields of pdes and nonlinear analysis... This reviewer calls the attention of the designers of algorithms for determining critical points to this book as a possible theoretical basis for new powerful numerical methods."


--Acta Sci. Math

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.07.1999

Verlag

Birkhäuser Boston

Seitenzahl

294

Maße (L/B/H)

24,1/16/2,2 cm

Gewicht

621 g

Auflage

1999

Sprache

Englisch

ISBN

978-0-8176-4095-8

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: GPSR Kontakt

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  • Produktbild: Linking Methods in Critical Point Theory
  • Produktbild: Linking Methods in Critical Point Theory
  • 1 Critical Point Theory.- 1.1 Introduction.- 1.2 Other Geometries.- 1.3 Semilinear Boundary Value Problems.- 1.4 The Critical Point Alternative.- 1.5 The Mountain Cliff Theorem.- 1.6 Estimates on Eigenspaces.- 1.7 Asymptotic Limits.- 1.8 Types of Resonance.- 1.9 Multiple Solutions.- 1.10 Eigenvalues.- 2 Linking.- 2.1 The Basic Concept.- 2.2 The Flow.- 2.3 Weaker Conditions.- 2.4 Another Form.- 2.5 Some Consequences.- 2.6 Examples of Linking.- 2.7 Critical Sequences.- 2.8 The Compact Case.- 2.9 A Sandwich Theorem.- 2.10 Appendix I: Pseudo-Gradients.- 2.11 Appendix II: Differential Equations.- 3 Semilinear Boundary Value Problems.- 3.1 Introduction.- 3.2 Mountain Pass Geometry.- 3.3 Finding a Critical Sequence.- 3.4 Obtaining a Solution.- 3.5 Solving the Problem.- 3.6 Resonance.- 3.7 Appendix I: The Sobolev Inequality.- 4 Alternative Methods 73.- 4.1 Introduction.- 4.2 The Saddle Point Alternative.- 4.3 An Alternate Form.- 4.4 Some Corollaries.- 4.5 An Application.- 4.6 Superlinear Problems.- 4.7 Some Modifications.- 5 Bounded Saddle Point Methods.- 5.1 Introduction.- 5.2 A Bounded Mountain Pass Lemma.- 5.3 The Mountain Pass Alternative.- 5.4 A Compactness Condition.- 5.5 Dual Situations.- 5.6 Combined Results.- 5.7 Nonlinear Eigenvalues.- 5.8 Double Resonance.- 5.9 Appendix I: Generalized Pseudo-Gradients.- 6 Estimates on Subspaces.- 6.1 Introduction.- 6.2 Some Important Quantities.- 6.3 The Estimates.- 6.4 Nontrivial Solutions.- 6.5 A Variation.- 7 The Fu?ík Spectrum.- 7.1 Introduction.- 7.2 Jumping Nonlinearities.- 7.3 Quantities Related to the Fu?í k Spectrum.- 7.4 Applications.- 8 Resonance.- 8.1 Introduction.- 8.2 More on Double Resonance.- 8.3 Resonance Involving Many Eigenvalues.- 8.4 Landesman—Lazer Resonance.- 8.5 Equal Limits at Infinity.- 8.6 Nonvanishing Solutions.- 8.7 Unequal Limits at Infinity.- 9 Boundary Conditions.- 9.1 Introduction.- 9.2 Bounded Linking.- 9.3 Reverse Boundary Conditions.- 9.4 An Application.- 9.5 Sufficient Conditions.- 10 Multiple Solutions.- 10.1 Introduction.- 10.2 The Abstract Theory.- 10.3 Some Applications.- 10.4 Additional Solutions.- 11 Nonlinear Eigenvalues.- 11.1 Introduction.- 11.2 The Hampwile Theorem.- 11.3 Applications.- 12 Strong Resonance.- 12.1 Introduction.- 12.2 Simple Solutions.- 12.3 A Different Approach.- 12.4 Resonance at the First Eigenvalue.- 12.5 Additional Solutions.- 13 Notes, Remarks and References.