@Article{JPDE-17-29, author = {Joon Hyuk Kang and Yun Myung Oh }, title = {The Existence and Uniqueness of a Positive Solution of an Elliptic System}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {1}, pages = {29--48}, abstract = { The existence and uniqueness of the positive solution for the generalized Lotka-Volterra competition model for several competing species Δu^i + u^i(a - g(u¹, ..., uN^)) = 0 in Ω , u^i = 0 on ∂Ω , for i = 1, ...,N were investigated. The techniques used in this paper are elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5374.html} }