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Journal of Functional Analysis
Article
License: Elsevier Non-Commercial
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Journal of Functional Analysis
Article . 2012
License: Elsevier Non-Commercial
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Journal of Functional Analysis
Article . 2012 . Peer-reviewed
License: Elsevier Non-Commercial
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Multibump solutions for quasilinear elliptic equations

Authors: Jiaquan Liu; Yu-Xia Guo; Zhi-Qiang Wang;

Multibump solutions for quasilinear elliptic equations

Abstract

AbstractThe current paper is concerned with constructing multibump type solutions for a class of quasilinear Schrödinger type equations including the Modified Nonlinear Schrödinger Equations. Our results extend the existence results on multibump type solutions in Coti Zelati and Rabinowitz (1992) [17] to the quasilinear case. Our work provides a theoretic framework for dealing with quasilinear problems, which lack both smoothness and compactness, by using more refined variational techniques such as gluing techniques, Morse theory, Lyapunov–Schmidt reduction, etc.

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Keywords

Multibump solutions, Quasilinear elliptic equations, Gluing method, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
33
Top 10%
Top 10%
Top 10%
hybrid