This volume provides an introduction to modern concepts of linear and nonlinear functional analysis. It may serve as a preparation for study of the abundant scientific literature on the theory of distributions, Sobolev spaces, elliptic equations and nonlinear analysis. Its purpose is also to provide an insight into the variety of deeply interlaced mathematical tools applied in the study of nonlinear problems. It starts with a review of the basics of Lebesgue spaces and Nemytzki operators. Special attention is paid to distributions, Sobelev spaces and their applications to the study of elliptic boundary value problems. Some of the methods of nonlinear analysis are illustrated by: resonant and nonresonant problems; lower semicontinuity and convexity; energy functionals; monotone operators; reduction method; Landesman-Lazer problems; jumping nonlinearities; the Mountain-Pass theorem; and topological degree. The book contains numerous examples and exercises, most with detailed solutions and hints.
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most Helpful Customer Reviews
4.0 out of 5 stars
Solid but Exorbitant,
Amazon Verified Purchase(What's this?)
This review is from: Fundamentals of Applied Functional Analysis (Monographs and Surveys in Pure and Applied Mathematics) (Hardcover)
This book gives you a sufficiently solid and contained introduction to Distribution Theory and Sobolev Spaces. Its biggest downside is that this first edition is riddled with serious erratas and according to the authors, they are unclear when the second edition will be out. I therefore recommend a used copy or a brand new copy thats on sale for about $41. Don't buy this one at the Amazon price of $200+. its a rip off- this book was not proof -read. It seems like it was rushed to print. Also upon getting a copy, its advisable to get a list of the corrections. Without them, you might have a hard time. But apart from this, its a good book.
Share your thoughts with other customers: Create your own review
|
|
Inside This Book
(learn more)
First Sentence:
There are many different approaches to measure and integration theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
partitive set, nonresonant problems, jumping nonlinearities, zero boundary data, distributional formulas, nonlinear elliptic equations, deformation lemma, monotone iterations, topological degree, arbitrary nonempty set, continuous retraction, linear elliptic problems, nonlinear elliptic boundary value problem, nonresonance condition, compact imbeddings, continuous imbeddings, variational characterization, bootstrap argument, outer measure, elliptic boundary value problems, unique weak solution, homotopy invariance, interpolation inequality, cone property, imbedding theorems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Using Fubini New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
There are many different approaches to measure and integration theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
partitive set, nonresonant problems, jumping nonlinearities, zero boundary data, distributional formulas, nonlinear elliptic equations, deformation lemma, monotone iterations, topological degree, arbitrary nonempty set, continuous retraction, linear elliptic problems, nonlinear elliptic boundary value problem, nonresonance condition, compact imbeddings, continuous imbeddings, variational characterization, bootstrap argument, outer measure, elliptic boundary value problems, unique weak solution, homotopy invariance, interpolation inequality, cone property, imbedding theorems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Using Fubini New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 40
books:
See all 40 books this book cites
- Nonlinear Functional Analysis (Notes on Mathematics and It Applications) by J. T. Schwartz in Back Matter (1), and Back Matter (2)
- The Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) by Walter Rudin in Back Matter
- Lectures on Partial Differential Equations: Lectures Delivered at the Indian Institute of Science, Bangalore, Under the T.I.F.R.-I.I. Sc. Programme in Applications of Mathematics by G. B. Folland in Back Matter
- Generalized Functions in Mathematical Physics by V.S. Vladimirov in Back Matter
- Hilbert Space Methods for Partial Differential Equations by R. E. Showalter in Back Matter
See all 40 books this book cites
Books on Related Topics
(learn more)
|
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
