Abstract

The objective of this work is to obtain Liouville type theorems for positive supersolutions of the elliptic system{−Δu+|∇u|=λvp,−Δv+|∇v|=μus, in exterior domains of RN, where p,s>0 and λ,μ>0 are parameters. We prove that positive supersolutions do not exist in some ranges of the parameters which turn out to be optimal.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.