Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Orbital stability of standing wave solution for a quasilinear Schrödinger equation

Authors: Boling Guo and Jianqing Chen
Journal: Quart. Appl. Math. 67 (2009), 781-791
MSC (2000): Primary 35Q55, 35A15, 35B35
DOI: https://doi.org/10.1090/S0033-569X-09-01147-5
Published electronically: May 27, 2009
MathSciNet review: 2588237
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Abstract: Via minimization arguments and the Concentration Compactness Principle, we prove the orbital stability of standing wave solutions for a class of quasilinear Schrödinger equation arising from physics.

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Additional Information

Boling Guo
Affiliation: Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, People’s Republic of China

Jianqing Chen
Affiliation: School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007, People’s Republic of China
Email: jqchen@fjnu.edu.cn

DOI: https://doi.org/10.1090/S0033-569X-09-01147-5
Keywords: Standing wave solution, orbital stability, quasilinear Schr\"{o}dinger equation.
Received by editor(s): September 17, 2008
Published electronically: May 27, 2009
Additional Notes: The second author is supported by the National Natural Sciences Foundation of China.
Article copyright: © Copyright 2009 Brown University

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