The non-existence and existence of the positive solution to the generalized elliptic model ∆u+g(u v) = 0 in Ω, ∆v+h(u, v) = 0 in Ω, u=v= 0 on∂Ω, were investigated.
International Journal of Pure and Applied Mathematics
Hyuk Kang, Joon and Robertson, Timothy, "Region of Smooth Functions for Positive Solutions to an Elliptic Biological Model" (2017). Faculty Publications. 706.
Retrieved August 24, 2018 from https://ijpam.eu/contents/2017-116-3/8/8.pdf