Existence of multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations with potentials vanishing at infinity
Published online by Cambridge University Press: 08 July 2009
Abstract
For a singularly perturbed nonlinear elliptic equation ε2Δu − V(x)u + up = 0, x ∈ ℝN, there are solutions concentrating around critical points of V with different energy scales with respect to small ε > 0. We combine the solutions when .
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 4 , August 2009 , pp. 833 - 852
- Copyright
- Copyright © Royal Society of Edinburgh 2009
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