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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

L. Päivärinta  and
T. Runst
L. Päivärinta
Affiliation:
Department of MathematicsUniversity of HelsinkiHallituskatu 15SF-00100 Helsinki 10Finland
T. Runst
Affiliation:
Section MathematikUniversität JenaUniversitätschochhausDDR-6900 JenaGermany
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Abstract

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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

References

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