Article contents
A biharmonic equation with singular nonlinearity
Published online by Cambridge University Press: 14 June 2011
Abstract
We study the biharmonic equation Δ2u = u−α, 0 < α < 1, in a smooth and bounded domain Ω ⊂ ℝn, n ≥ 2, subject to Dirichlet boundary conditions. Under some suitable assumptions on Ω related to the positivity of the Green function for the biharmonic operator, we prove the existence and uniqueness of a solution.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 1 , February 2012 , pp. 155 - 166
- Copyright
- Copyright © Edinburgh Mathematical Society 2011
References
- 6
- Cited by