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Duality and Perturbation Methods in Critical Point Theory

Author: N Ghoussoub; Cambridge University Press.
Publisher: Cambridge : Cambridge University Press, 1993.
Series: Cambridge Tracts in Mathematics, no. 107; Cambridge tracts in mathematics, no. 107.
Edition/Format:   eBook : Document : 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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Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: N Ghoussoub; Cambridge University Press.
ISBN: 9780511551703 0511551703
OCLC Number: 668203489
Description: 1 online resource (280 pages).
Contents: 1. Lipschitz and smooth perturbed minimization principles; 2. Linear and plurisubharmonic perturbed minimization principles; 3. The classical min-max theorem; 4. A strong form of the min-max principle; 5. Relaxed boundary conditions in the presence of a dual set; 6. The critical set in the mountain pass theorem; 7. Group actions and multiplicity of critical points; 8. The Palais-Smale condition around a dual set - examples; 9. Morse indices of min-max critical points - the non-degenerate case; 10. Morse indices of min-max critical points - the degenerate case; 11. Morse-type information on Palais-Smale sequences; Appendix; References; Index.
Series Title: Cambridge Tracts in Mathematics, no. 107; Cambridge tracts in mathematics, no. 107.
Other Titles: Cambridge books online.
Responsibility: N. 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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