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Existence of solutions in a singular biharmonic nonlinear problem

Published online by Cambridge University Press:  20 January 2009

Gaston L. Hernandez  and
Y. Choi
Gaston L. Hernandez
Affiliation:
University of Connecticut, Storrs, CT 06269, USA
Y. Choi
Affiliation:
University of Connecticut, Storrs, CT 06269, USA
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Abstract

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In this work we prove the existence and uniqueness of positive solutions of the nonlinear singular boundary value problem

where 0<σ<1.

Extensions of the above results to the case of Δ2u−f(x, u) = 0 with appropriate singularity built into f are also given.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 3 , October 1993 , pp. 537 - 546
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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