Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations

Title
Critical exponents and solitary wave solutions for generalized quasilinear Schrodinger equations
Publication Date
2016
Author(s)
Deng, Yinbin
Peng, Shuangjie
Yan, Shusen
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Academic Press
Place of publication
United States of America
DOI
10.1016/j.jde.2015.09.021
UNE publication id
une:20409
Abstract
This paper is concerned with the solitary wave solutions for a generalized quasilinear Schrödinger equation in RN involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schrödinger equation and obtain its solitary wave solutions by using a change of variables and variational argument.
Link
Citation
Journal of Differential Equations, 260(2), p. 1228-1262
ISSN
1090-2732
0022-0396
Start page
1228
End page
1262

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