Article contents
Monotone techniques and semilinear elliptic boundary value problems*
Published online by Cambridge University Press: 14 November 2011
Synopsis
This paper considers semilinear elliptic boundary value problems of the form
where the partial derivative ∂f/∂u is bounded above by the least eigenvalue of the linear elliptic operator L. Existence and uniqueness of solutions is proved by using monotone operator theory and sub and supersolution techniques.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 80 , Issue 1-2 , 1978 , pp. 139 - 149
- Copyright
- Copyright © Royal Society of Edinburgh 1978
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