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Existence of solutions in a singular biharmonic nonlinear problem
Published online by Cambridge University Press: 20 January 2009
Abstract
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
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