Existence and multiplicity of solutions of Schrödinger—Poisson systems with radial potentials
Published online by Cambridge University Press: 20 March 2014
Abstract
In this paper, we deal with the nonlinear Schrödinger–Poisson system
where λ > 0, V and Q are radial functions, which can be vanishing or coercive at ∞. With assumptions on f just in a neighbourhood of the origin, existence and multiplicity of non-trivial radial solutions are obtained via variational methods. In particular, if f is sublinear and odd near the origin, we obtain infinitely many solutions of (SP)λ for any λ < 0.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 2 , April 2014 , pp. 319 - 332
- Copyright
- Copyright © Royal Society of Edinburgh 2014
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