Article contents
Liouville theorems for elliptic systems and nonlinear equations of fourth order
Published online by Cambridge University Press: 14 November 2011
Synopsis
Liouville theorems are obtained for fourth order elliptic systems of the form Δ2U + B Δ U + AU = 0 and for fourth order nonlinear equations of the form Δ2u−q(x) Δu + p(x)f(u) = 0 as a consequence of two related subharmonic functions, the mean value property of subharmonic functions, and a basic Green identity.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 91 , Issue 3-4 , 1982 , pp. 235 - 242
- Copyright
- Copyright © Royal Society of Edinburgh 1982
References
- 5
- Cited by