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

Authors: Liu, Jia-Quan; Wang, Zhi-Qiang; Guo, Yu-Xia;

Multibump solutions for quasilinear elliptic equations

Abstract

The article is concerned with constructing multibump type solution for quasilinear Schrödinger equations in the entire space. They get some extensions of the results of the classical work of \textit{V. Coti Zelati} and \textit{P. H. Rabinowitz} [Commun. Pure Appl. Math. 45, No. 10, 1217--1269 (1992; Zbl 0785.35029)] in which they get multibump type solutions for semilinear elliptic PDEs with periodic potentials by using a gluing method. The goal of the current paper is to establish the phenomenon of multibump type solutions for quasilinear equations for which the variational formulation lacks both smoothness and compactness.

Related Organizations
Keywords

Multibump solutions, Quasilinear elliptic equations, NLS equations (nonlinear Schrödinger equations), quasilinear elliptic equations, Gluing method, gluing method, multibump solutions, Analysis

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selected citations
These citations are derived from selected sources.
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!
32
Top 10%
Top 10%
Top 10%
hybrid