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Semilinear fourth order boundary value problems

Published online by Cambridge University Press:  17 April 2009

Gerhard Metzen
Gerhard Metzen
Affiliation:
Department of Mathematical Sciences, Memphis State University, Memphis, TN 38152, United States of America
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Abstract

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We study a certain linear fourth order differential operator and show the existence of solutions to corresponding nonlinear problems. It will be shown that a maximum principle holds and that under certain conditions the linear operator has a positive principal eigenvalue with corresponding positive eigenfunction.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 1 , August 1990 , pp. 101 - 114
Copyright
Copyright © Australian Mathematical Society 1990

References

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