Order structure and topological methods in nonlinear partial differential equations. Vol. 1, Maximum principles and applications /

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Bibliographic Details
Author / Creator:Du, Yihong.
Imprint:Hackensack, N.J. : World Scientific, ©2006.
Description:1 online resource (x, 190 pages).
Language:English
Series:Series on partial differential equations and applications ; v. 2
Series on partial differential equations and applications ; v. 2.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11156653
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ISBN:9789812774446
9812774440
9789812566249
9812566244
Notes:Includes bibliographical references (pages 181-188) and index.
Print version record.
Summary: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, especia.
Other form:Print version: Du, Yihong. Order structure and topological methods in nonlinear partial differential equations. Vol. 1, Maximum principles and applications. Hackensack, N.J. : World Scientific, ©2006 9812566244 9789812566249