Multiple solutions for some quasilinear Neumann problems in exterior domains
Published online by Cambridge University Press: 18 September 2007
Abstract
In this paper, we show that if $K(x)$ satisfies suitable conditions, then the quasilinear Neumann problem $-\Delta_pu+|u|^{p-2}u=K(x)|u|^{q-2}u$ in an exterior domain $\varOmega$ has at least two solutions, of which one is a positive ground-state solution and one is a nodal solution.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 5 , October 2007 , pp. 1059 - 1071
- Copyright
- 2007 Royal Society of Edinburgh
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