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Multiplicity results for semilinear elliptic boundary value problems in Besov and Triebel-Lizorkin spaces
Published online by Cambridge University Press: 20 January 2009
Abstract
The paper deals with superlinear elliptic boundary value problems depending on a parameter. Given appropriate hypotheses concerning the asymptotic behaviour of the nonlinearity, we prove lower bounds on the number of solutions. The results generalize a theorem due to Lazer and McKenna within the framework of quasi-Banach spaces of Besov and Triebel-Lizorkin spaces.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 3 , October 1991 , pp. 393 - 410
- Copyright
- Copyright © Edinburgh Mathematical Society 1991
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