Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615237 | Journal of Mathematical Analysis and Applications | 2015 | 19 Pages |
In this study, we consider the following coupled elliptic system with a Sobolev critical exponent:equation(PP){−Δu1+λ1u1=ν1u1p1−1+μ1u12⁎−1+βu12⁎2−1u22⁎2,x∈Ω,−Δu2+λ2u2=ν2u2p2−1+μ2u22⁎−1+βu12⁎2u22⁎2−1,x∈Ω,u1,u2≥0inΩ,u1=u2=0on∂Ω, where Ω⊂RNΩ⊂RN is a bounded smooth domain, N≥5N≥5, 2