Singularly Perturbed Methods for Nonlinear Elliptic Problems 用于非线性椭圆问题的奇异摄动法曹道民剑桥高等数学研究系列精装

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作者Daomin Cao

出版社Cambridge University Press

ISBN9781108836838

出版时间2001-01

装帧精装

定价890元

货号YB-70225

上书时间2024-07-02

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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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Singularly Perturbed Methods for Nonlinear Elliptic Problems 用于非线性椭圆问题的奇异摄动法 曹道民 剑桥高等数学研究系列 精装