It is shown that there exists Λ>0 such that, for every λ∈(0,Λ), the semilinear elliptic system: - Δ u=λu|u| q-1 +u|u| p-1 -v inΩ, - Δ v=δu-γv in Ω, u=v=0 on Ω, where Ω∈R N(N≥2) is a b...
We have proved generalized Hahn-Banach theorem by using the concept of efficient for K-convex multifunction and K-sublinear multifunction in partially ordered locally convex topological vector space.