Abstract
We study the semilinear elliptic system {−Δu=u−p+v−q,u>0inΩ,−Δv=u−r+v−s,v>0inΩ,u=v=0on ∂Ω, where Ω⊂RN(N≥1) is a smooth and bounded domain, p,q,r,s>0. Under suitable ranges of exponents we obtain various results regarding the well posedness of our system.
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