Abstract
Abstract We study the following boundary value problem of semi-linear elliptic systems Δu + f(x, u, ∇u) =0 in Ω, u =0 on ∂Ω where Ω ⊂ ℝn (n ≥ 2) is a connected and bounded smooth domain, and u and f are real vector-valued functions. Under appropriate conditions on the function f, we establish a general existence result for positive solutions. We continue our earlier works [15, 16, 17] and, in particular, remove a requirement of the cooperative structure on elliptic systems. As examples, we consider the stationary Klein-Gordon-Maxwell system and Maxwell- Schrodinger system, both lacking the cooperative structure..
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 callDisclaimer: 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.
