Abstract
We consider the system −Δu = λ f(v); x ∈ Ω −Δv = μ g(u); x ∈ Ω u = 0 = v; x ∈ ∂Ω, where Ω is a ball in RN , N ≥ 1 and ∂Ω is its boundary, λ, μ are positive parameters bounded away from zero, and f, g are smooth functions that are negative at the origin and grow at least linearly at infinity. We establish the nonexistence of positive solutions when λμ is large. Our proofs depend on energy analysis and comparison methods.
Sign-in/Register to access full text options 
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.
