Soliton solutions for quasilinear Schrödinger equations, I

For a class of quasilinear Schrödinger equations we establish the existence of ground states of soliton type solutions by a minimization argument.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2003-02, Vol.131 (2), p.441-448
Main Authors: Liu, Jiaquan, Wang, Zhi-Qiang
Format: Article
Language:English
Subjects:
Exact sciences and technology
Ground state
Lagrange multipliers
Lasers
Mathematical analysis
Mathematical theorems
Mathematics
Partial differential equations
Physics
Quantum mechanics
Sciences and techniques of general use
Solitons
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Description
Summary:For a class of quasilinear Schrödinger equations we establish the existence of ground states of soliton type solutions by a minimization argument.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-02-06783-7