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Order Structure and Topological Methods in Nonlinear Partial Differential
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Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles and Applications Hardback - 2006

by Yihong Du

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The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.


The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.


Details

  • Title Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles and Applications
  • Author Yihong Du
  • Binding Hardback
  • Pages 200
  • Volumes 1
  • Language ENG
  • Publisher World Scientific Publishing Company
  • Publication date 2006-01-23
  • Features Bibliography, Index, Table of Contents
  • ISBN 9789812566249 / 9812566244
  • Weight 1.08 lbs (0.49 kg)
  • Dimensions 9.22 x 6.1 x 0.77 in (23.42 x 15.49 x 1.96 cm)
  • Category Mathematics
  • Library of Congress Catalogue Number 2006283978
  • Dewey Decimal Code 515.353

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Order Structure & Topological Meth..(V2) (Partial Differential Equations and Applications)
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Order Structure & Topological Meth..(V2) (Partial Differential Equations and Applications)

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Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications

by Yihong Du

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Hardback. New. The maximum principle induces an order structure for partial differential equations, and is an important tool in nonlinear analysis. This book introduces the applications of order structure in nonlinear partial differential equation problems. It presents the upper and lower solution method with enough generality to cater for wide applications.
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ORDER STRUCTURE & TOPOLOGICAL METH..(V2)

ORDER STRUCTURE & TOPOLOGICAL METH..(V2)

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The maximum principle induces an order structure for partial differential equations, and is an important tool in nonlinear analysis. This book introduces the applications of order structure in nonlinear partial differential equation pro
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Order Structure And Topological Methods in Nonlinear Partial Differential Equations Maximum......
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Order Structure And Topological Methods in Nonlinear Partial Differential Equations Maximum... (Partial Differential Equations and Application)

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Order Structure And Topological Methods in Nonlinear Partial Differential Equations Maximum... (Partial Differential Equations and Application)

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Order Structure And Topological Methods in Nonlinear Partial Differential Equations Maximum...:...
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Order Structure And Topological Methods in Nonlinear Partial Differential Equations Maximum...: Vol 1

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World Scientific Pub Co Inc, 2006. Hardcover. New. illustrated edition edition. 200 pages. 9.75x6.50x0.75 inches.
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