Nonlinear Analysis on Manifolds. Monge-Ampere Equations by T. Aubin HC

Regroovablebooks
(44510)
Seller's other items
Contact seller
US $44.00
ApproximatelyRM 181.80
Condition:
Like New
Breathe easy. Returns accepted.
Hurry before it's gone. 1 person is watching this item.
Pickup:
Free local pickup from Woburn, Massachusetts, United States.
Shipping:
US $4.40 (approx RM 18.18) USPS Media MailTM.
Located in: Woburn, Massachusetts, United States
Delivery:
Estimated between Thu, 20 Nov and Tue, 25 Nov to 94104
Delivery time is estimated using our proprietary method which is based on the buyer's proximity to the item location, the shipping service selected, the seller's shipping history, and other factors. Delivery times may vary, especially during peak periods.
Returns:
30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Coverage:
Read item description or contact seller for details. See all detailsSee all details on coverage
(Not eligible for eBay purchase protection programmes)
Seller assumes all responsibility for this listing.
eBay item number:336047232926

Item specifics

Condition
Like New: A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is ...
ISBN
9780387907048
Category

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
0387907041
ISBN-13
9780387907048
eBay Product ID (ePID)
172893

Product Key Features

Number of Pages
Xii, 204 Pages
Publication Name
Nonlinear Analysis on Manifolds : Monge-Ampère Equations
Language
English
Publication Year
1982
Subject
Algebra / Linear, Geometry / Differential, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Author
Thierry Aubin
Series
Grundlehren Der Mathematischen Wissenschaften Ser.
Format
Hardcover

Dimensions

Item Weight
38.1 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Series Volume Number
252
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
1 Riemannian Geometry.- §1. Introduction to Differential Geometry.- §2. Riemannian Manifold.- §3. Exponential Mapping.- §4. The Hopf-Rinow Theorem.- §5. Second Variation of the Length Integral.- §6. Jacobi Field.- §7. The Index Inequality.- §8. Estimates on the Components of the Metric Tensor.- §9. Integration over Riemannian Manifolds.- §10. Manifold with Boundary.- §11. Harmonic Forms.- 2 Sobolev Spaces.- §1. First Definitions.- §2. Density Problems.- §3. Sobolev Imbedding Theorem.- §4. Sobolev's Proof.- §5. Proof by Gagliardo and Nirenberg.- §6. New Proof.- §7. Sobolev Imbedding Theorem for Riemannian Manifolds.- §8. Optimal Inequalities.- §9. Sobolev's Theorem for Compact Riemannian Manifolds with Boundary.- §10. The Kondrakov Theorem.- §11. Kondrakov's Theorem for Riemannian Manifolds.- §12. Examples.- §13. Improvement of the Best Constants.- §14. The Case of the Sphere.- §15. The Exceptional Case of the Sobolev Imbedding Theorem.- §16. Moser's Results.- §17. The Case of the Riemannian Manifolds.- §18. Problems of Traces.- 3 Background Material.- §1. Differential Calculus.- §2. Four Basic Theorems of Functional Analysis.- §3. Weak Convergence. Compact Operators.- §4. The Lebesgue Integral.- §5. The LpSpaces.- §6. Elliptic Differential Operators.- §7. Inequalities.- §8. Maximum Principle.- §9. Best Constants.- 4 Green's Function for Riemannian Manifolds.- §1. Linear Elliptic Equations.- §2. Green's Function of the Laplacian.- 5 The Methods.- §1. Yamabe's Equation.- §2. Berger's Problem.- §3. Nirenberg's Problem.- 6 The Scalar Curvature.- §1. The Yamabe Problem.- §2. The Positive Case.- §3. Other Problems.- 7 Complex Monge-Ampere Equation on Compact Kähler Manifolds.- §1. Kähler Manifolds.- §2. Calabi's Conjecture.- §3. Einstein-Kähler Metrics.- §4. Complex Monge-Ampere Equation.- §5. Theorem of Existence (the Negative Case).- §6. Existence of Kähler-Einstein Metric.- §7. Theorem of Existence (the Null Case).- §8. Proof of Calabi's Conjecture.- §9. The Positive Case.- §10. A Priori Estimate for ??.- §11. A Priori Estimate for the Third Derivatives of Mixed Type.- §12. The Method of Lower and Upper Solutions.- 8 Monge-Ampère Equations.- §1. Monge-Ampère Equations on Bounded Domains of ?n.- §2. The Estimates.- §3. The Radon Measure ?(?).- §4. The Functional ? (?).- §5. Variational Problem.- §6. The Complex Monge-Ampère Equation.- §7. The Case of Radially Symmetric Functions.- §8. A New Method.- Notation.
Synopsis
This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian Geometry. Analysis on Riemannian manifolds is a field currently undergoing great development. More and more, analysis proves to be a very powerful means for solving geometrical problems. Conversely, geometry may help us to solve certain problems in analysis. There are several reasons why the topic is difficult and interesting. It is very large and almost unexplored. On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them. Each problem has its own particular difficulties. Nevertheless there exist some standard methods which are useful and which we must know to apply them. One should not forget that our problems are motivated by geometry, and that a geometrical argument may simplify the problem under investigation. Examples of this kind are still too rare. This work is neither a systematic study of a mathematical field nor the presentation of a lot of theoretical knowledge. On the contrary, I do my best to limit the text to the essential knowledge. I define as few concepts as possible and give only basic theorems which are useful for our topic. But I hope that the reader will find this sufficient to solve other geometrical problems by analysis.
LC Classification Number
QA184-205

Item description from the seller

About this seller

Regroovablebooks

97.4% positive feedback•95K items sold

Joined Aug 1999
Books, books and more books! I am an avid collector and have been selling on Ebay for many years. Signed books, First Editions, ARC, Journals, Textbooks, Hardcovers, Paperbacks, Rare books and much ...
See more
Visit storeContact

Detailed Seller Ratings

Average for the last 12 months
Accurate description
4.8
Reasonable shipping cost
4.8
Shipping speed
4.9
Communication
4.9

Popular categories from this store

See allcategories
ActingAddictionAgricultureAirplanesAnimalsAnthropologyAntiquarianAntiquesARC Advanced Reader Copy

Seller feedback (46,857)

All ratingsselected
Positive
Neutral
Negative
  • 2***0 (130)- Feedback left by buyer.
    Past 6 months
    Verified purchase
    Shipping was quick, packaging was excellent, condition was acceptable as described -- binding loose but pages intact. I did message buyer asking about mold and didn't receive a reply -- luckily, there appears to be no mold. Great value for a 100+ yr old book!
    Mistress of Shenstone by Florence L. Barclay HC 1910 (#335940140985)
  • a***p (8)- Feedback left by buyer.
    Past year
    Verified purchase
    I received my book in absolutely pristine condition, better than described! Which is impressive because the copy is from 1930 and it looks like it has never been handled. It shipped very quickly, even faster than the estimated time given by a week. It was packaged very carefully. The book and shipping price was also very fair considering the age and condition of the book and the shipping speed. I am very pleased with this seller and will be ordering from them again in the future.
    All Quiet on the Western Front by Erich Maria Remarque HC 1930 (#396258036329)
  • b***w (115)- Feedback left by buyer.
    Past 6 months
    Verified purchase
    Outstanding seller! Excellent communication. The item was exactly as described, mailed promptly, and packaged securely.
    Mission Impossible #4: Code Name Little Ivan by John Tiger, 1969 SC (#336040405753)
See all feedback

More to explore :