On the existence of bounded solutions of nonlinear elliptic systems

Abdelaziz Ahammou

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-12

Abstract:

We study the existence of bounded solutions to the elliptic system − Δ p u = f ( u , v ) + h 1 in Ω , − Δ q v = g ( u , v ) + h 2 in Ω , u = v = 0 on ∂ Ω , non-necessarily potential systems. The method used is a shooting technique. We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the sense of Hernandez; then we construct some compact operator T and some invariant set K where we can use the Leray Schauder's theorem.

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/30/735239.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/30/735239.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:735239

DOI: 10.1155/S0161171202010293

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().