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Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields
Published online by Cambridge University Press: 01 March 2012
Abstract
In this paper, we are concerned with the existence of multi-bump solutions for a nonlinear Schrödinger equations with electromagnetic fields. We prove under some suitable conditions that for any positive integer m, there exists ε(m) > 0 such that, for 0 < ε < ε(m), the problem has an m-bump complex-valued solution. As a result, when ε → 0, the equation has more and more multi-bump complex-valued solutions.
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- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 1 , January 2013 , pp. 91 - 111
- Copyright
- © EDP Sciences, SMAI, 2012
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