On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent
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DOI: 10.1002/mma.4034
Abstract: In this paper, we consider the following coupled Schrodinger system with critical exponent: −Δu=λu+|u|α−2u|v|β−1v,x∈Ω,−Δv=μ|v|2∗−2v+|u|α|v|β−1,x∈Ω,u,v>0,x∈Ω,u=v=0,x∈∂Ω, where Ω⊂RN(N≥3) is a smooth bounded domain, λ > 0,μ≥0, and α,β≥1,α+β=2∗=2NN−2. Under certain conditions on λ and μ, we show… read more here.
Keywords: positive least; critical exponent; least energy; system critical ... See more keywords