Singularly Perturbed Methods for Nonlinear Elliptic Problems (Cambridge Studies in Advanced Mathematics) - Tapa dura
Libro 119 de 140: Cambridge Studies in Advanced Mathematics
Sinopsis
A systematic introduction to the singularly perturbed methods in the study of concentration solutions for nonlinear elliptic problems.
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Acerca de los autores
Daomin Cao is a professor at the Institute of Applied Mathematics, Chinese Academy of Sciences. His research focuses on nonlinear partial differential equations. He was awarded the first-class prize of Outstanding Young Scientists of Chinese Academy of Sciences. He is the editor of academic mathematical journals including Applicable Analysis, Annales Academiac Scientiarum Fennicae Mathematica, and Acta Mathematicae Applicatae Sinica.
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.
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Singularly Perturbed Methods for Nonlinear Elliptic Problems (Cambridge Studies in Advanced Mathematics)
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Singularly Perturbed Methods for Nonlinear Elliptic Problems (Cambridge Studies in Advanced Mathematics)
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Singularly Perturbed Methods for Nonlinear Elliptic Problems (Cambridge Studies in Advanced Mathematics)
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Singularly Perturbed Methods for Nonlinear Elliptic Problems
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Singularly Perturbed Methods for Nonlinear Elliptic Problems
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Hardcover. Condición: new. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781108836838
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