Buy The Mountain Pass Theorem Book by Youssef Jabri
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > The Mountain Pass Theorem: Variants, Generalizations and Some Applications(Series Number 95 Encyclopedia of Mathematics and its Applications)
The Mountain Pass Theorem: Variants, Generalizations and Some Applications(Series Number 95 Encyclopedia of Mathematics and its Applications)

The Mountain Pass Theorem: Variants, Generalizations and Some Applications(Series Number 95 Encyclopedia of Mathematics and its Applications)


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.

Table of Contents:
1. Retrospective; Part I. First Steps toward the Mountains: 2. Palais-Smale condition. Definitions and examples; 3. Variational principle; 4. Deformation lemma; Part II. Reaching the Mountain Pass through Easy Climbs: 5. The finite dimensional MPT; 6. The topological MPT; 7. The classical MPT; 8. The multidimensional MPT; Part III. A Deeper Insight in Mountain Topology: 9. The limiting case in the MPT; 10. Palais-Smale condition versus asymptotic behavior; 11. Symmetry and the MPT; 12. The structure of the critical set in the MPT; 13. Weighted Palais-Smale conditions; Part IV. The Landscape Becoming Less Smooth: 14. The semismooth MPT; 15. The nonsmooth MPT; 16. The metric MPT; Part V. Speculating about the Mountain Pass Geometry: 17. The MPT on convex domains; 18. A MPT in order intervals; 19. The linking principle; 20. The intrinsic MPT; 21. Geometrically contrained MPT; Part VI. Technical Climbs: 22. Numerical MPT implementations; 23. Perturbation from symmetry and the MPT; 24. Applying the MPT in bifurcation problems; 25. More climbs; Appendix A. Background material.

Review :
'This impressive research monograph provides an excellent basis for an advanced course or a seminar on problems of modern nonlinear analysis.' Zentralblatt MATH


Best Sellers


Product Details
  • ISBN-13: 9780511056345
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press (Virtual Publishing)
  • Language: English
  • Sub Title: Variants, Generalizations and Some Applications
  • ISBN-10: 0511056346
  • Publisher Date: 20 Dec 2004
  • Binding: Digital download and online
  • Series Title: Series Number 95 Encyclopedia of Mathematics and its Applications


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
The Mountain Pass Theorem: Variants, Generalizations and Some Applications(Series Number 95 Encyclopedia of Mathematics and its Applications)
Cambridge University Press -
The Mountain Pass Theorem: Variants, Generalizations and Some Applications(Series Number 95 Encyclopedia of Mathematics and its Applications)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

The Mountain Pass Theorem: Variants, Generalizations and Some Applications(Series Number 95 Encyclopedia of Mathematics and its Applications)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!