Singularly Perturbed Methods for Nonlinear Elliptic Problems (Cambridge Studies in Advanced Mathematics) free ebook download.

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Singularly Perturbed Methods for Nonlinear Elliptic Problems (Cambridge Studies in Advanced Mathematics) free ebook download

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Author(s):	Daomin Cao

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	1108836836
Pages:	262	OCR:		Quality:		ISBN13:
Uploader:	risotor	Upload Date:	1/26/2022 11:55:44 PM

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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.
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Tags: Advanced Cambridge Elliptic Mathematics Methods Nonlinear Perturbed Problems Singularly Studies

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