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Singularly Perturbed Methods for Nonlinear Elliptic Problems

Singularly Perturbed Methods for Nonlinear Elliptic Problems

Singularly Perturbed Methods for Nonlinear Elliptic Problems
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Singularly Perturbed Methods for Nonlinear Elliptic Problems Hardback - 2021

by Cao, Daomin/ Peng, Shuangjie/ Yan, Shusen

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Cambridge Univ Pr, 2021. Hardcover. New. 210 pages. 9.00x6.00x0.75 inches.
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Details

  • Title Singularly Perturbed Methods for Nonlinear Elliptic Problems
  • Author Cao, Daomin/ Peng, Shuangjie/ Yan, Shusen
  • Binding Hardback
  • Condition New
  • Pages 262
  • Volumes 1
  • Language ENG
  • Publisher Cambridge Univ Pr
  • Publication date 2021
  • Features Bibliography, Index
  • Bookseller's Inventory # x-1108836836
  • ISBN 9781108836838 / 1108836836
  • Weight 1 lbs (0.45 kg)
  • Dimensions 9.2 x 7.7 x 0.7 in (23.37 x 19.56 x 1.78 cm)
  • Category Mathematics
  • Library of Congress subjects Differential equations, Nonlinear, Differential equations, Elliptic
  • Library of Congress Catalogue Number 2020030221
  • Dewey Decimal Code 515.353
  • Quantity available 2

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Reader reviews for Singularly Perturbed Methods for Nonlinear Elliptic Problems

From the publisher

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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