Singularly Perturbed Methods for Nonlinear Elliptic Problems (Hardcover)
Language: English
Published by Cambridge University Press, Cambridge, 2021
Series: Book 119 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 78.49
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Hardcover. This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then progresses to other related problems to help the reader learn more about the general theories developed from singularly perturbed methods. Designed for PhD students and junior mathematicians intending to do their research in the area of elliptic differential equations, the text covers three main topics. The first is the compactness of the minimization sequences, or the Palais-Smale sequences, or a sequence of approximate solutions; the second is the construction of peak or bubbling solutions by using the Lyapunov-Schmidt reduction method; and the third is the local uniqueness of these solutions. This book introduces singularly perturbed methods in a self-contained manner by investigating two relatively simple but typical non-compact elliptic problems. Avoiding using too many sophisticated estimates, this book is written for PhD students and junior mathematicians who plan to do their research in the area of elliptic differential equations. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9781108836838
- Title
- Singularly Perturbed Methods for Nonlinear Elliptic Problems (Hardcover)
- Author
- Daomin Cao
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 2021
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1108836836
- ISBN 13
- 9781108836838
- Series
- Book 119 of 151: Cambridge Studies in Advanced Mathematics
"Synopsis" may belong to another edition of this title.
About the Author
Shuangjie Peng is a professor at the School of Mathematics and Statistics, Central China Normal University. His research focuses on nonlinear elliptic problems. He was awarded the first-class prize of Natural Sciences of Hubei province and the second-class prize of Natural Sciences from the Ministry of Education. He is the editor of academic mathematical journals including Communications on Pure and Applied Analysis, Acta Mathematica Scientia, and Acta Mathematicae Applicatae Sinica.
Shusen Yan is a professor at the School of Mathematics and Statistics, Central China Normal University. His main research interests are in nonlinear elliptic problems.
"About the title" may belong to another edition of this title.
CitiRetail
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