Singularly perturbed methods for nonlinear elliptic problems /

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Bibliographic Details
Author / Creator:Cao, Daomin, 1963- author.
Imprint:Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2021.
©2021
Description:ix, 252 pages : illustrations ; 24 cm.
Language:English
Series:Cambridge studies in advanced mathematics
Cambridge studies in advanced mathematics.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12571601
Hidden Bibliographic Details
Other authors / contributors:Peng, Shuangjie, 1968- author.
Yan, Shusen, 1963- author.
ISBN:9781108836838
1108836836
9781108872638
Notes:Includes bibliographical references and index.
Summary:"The development of variational methods is centered around a fundamental goal, namely, to and solutions for partial differential equations with variational structure. The history of such methods dated back to the 19th century. Despite its long history, these methods still have strong impact in today's research. New critical point theories, such as the mountain pass lemma of Ambrosetti and Rabinowitz, and the concentration compactness principle of P.L.Lions (see also Aubin [10], Brezis and Nirenberg [24]) have led to many beautiful results on the existence of nontrivial solutions for super-linear elliptic problems. However, these results are not very effective in ending solutions with higher energy for non-compact elliptic problems"--

MARC

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520 |a "The development of variational methods is centered around a fundamental goal, namely, to and solutions for partial differential equations with variational structure. The history of such methods dated back to the 19th century. Despite its long history, these methods still have strong impact in today's research. New critical point theories, such as the mountain pass lemma of Ambrosetti and Rabinowitz, and the concentration compactness principle of P.L.Lions (see also Aubin [10], Brezis and Nirenberg [24]) have led to many beautiful results on the existence of nontrivial solutions for super-linear elliptic problems. However, these results are not very effective in ending solutions with higher energy for non-compact elliptic problems"--  |c Provided by publisher. 
650 0 |a Differential equations, Elliptic.  |0 http://id.loc.gov/authorities/subjects/sh85037895 
650 0 |a Differential equations, Nonlinear.  |0 http://id.loc.gov/authorities/subjects/sh85037906 
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