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Multiplicity results for a nonlinear Dirichlet problem

Published online by Cambridge University Press:  14 November 2011

S. Solimini
S. Solimini
Affiliation:
International School for Advanced Studies(ISAS), Trieste, Italy
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Synopsis

This paper deals with some multiplicity results for elliptic problems with jumping nonlinearities. Our results are concerned with the case in which only one eigenvalue of the linear problem is jumped and it is simple. The main tool used is the Leray–Schauder topological degree. We consider a parametrized problem and prove the existence of two or three distinct solutions for suitable values of the parameter.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 331 - 336
Copyright
Copyright © Royal Society of Edinburgh 1984

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