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Duality and perturbation methods in critical point theory

Author: N Ghoussoub
Publisher: Cambridge [England] ; New York : Cambridge University Press, 1993.
Series: Cambridge tracts in mathematics, 107.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Describes a approach to critical point theory and presents a whole new array of duality and perturbation methods.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: N Ghoussoub
ISBN: 0521440254 9780521440257
OCLC Number: 28922488
Description: xviii, 258 pages : illustrations ; 24 cm.
Contents: Ch. 1. Lipschitz and Smooth Perturbed Minimization Principles --
Ch. 2. Linear and Plurisubharmonic Perturbed Minimization Principles --
Ch. 3. The Classical Min-Max Theorem --
Ch. 4. A Strong Form of the Min-Max Principle --
Ch. 5. Relaxed Boundary Conditions in the Presence of a Dual Set --
Ch. 6. The Critical Set in the Mountain Pass Theorem --
Ch. 7. Group Actions and Multiplicity of Critical Points --
Ch. 8. The Palais-Smale Condition Around a Dual Set --
Examples --
Ch. 9. Morse Indices of Min-Max Critical Points --
The Non Degenerate Case --
Ch. 10. Morse Indices of Min-Max Critical Points --
The Degenerate Case --
Ch. 11. Morse-type Information on Palais-Smale Sequences --
Appendices / David Robinson --
A. Relevant function spaces and inequalities --
B. Variational formulations of some boundary value problems --
C. The blowing-up of singularities --
D. Elements of degree theory --
E. Basic properties of martingales.
Series Title: Cambridge tracts in mathematics, 107.
Responsibility: Nassif Ghoussoub.
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"The excellent material presentation of this small book follows the tradition of the series." Jean Mawhin, SIAM Review "...I recommend Ghoussoub's book to anyone working on variational problems, in Read more...

 
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