Quarterly of Applied Mathematics

Orbital stability of standing wave solution for a quasilinear Schrödinger equation

Author(s): Boling Guo; Jianqing Chen
Journal: Quart. Appl. Math.
MSC (2000): Primary 35Q55, 35A15, 35B35
Posted: May 27, 2009
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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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Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 35Q55, 35A15, 35B35

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

PII: S0033-569X-09-01147-5
Keywords: Standing wave solution, orbital stability, quasilinear Schr\"{o}dinger equation.
Received by editor(s): September 17, 2008
Posted: May 27, 2009
Additional Notes: The second author is supported by the National Natural Sciences Foundation of China.
Copyright of article: Copyright 2009, Brown University

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