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• W4309078925 abstract "We are interested in the existence and asymptotic behavior of the solutions of the following critical Hartree equation with small parameter ε>0,(0.1){−Δu=(∫Ωu2μ⁎(y)|x−y|μdy)u2μ⁎−1+εu,inΩ,u=0,on∂Ω, where N≥5, μ∈(0,4], Ω is a bounded smooth domain in RN, and 2μ⁎=2N−μN−2 is the upper critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality. By applying the reduction arguments, we prove that equation (0.1) has a family of solutions uε concentrating around the critical point of Robin function under some suitable assumptions, if ε→0, N≥5, μ∈(0,4] sufficiently close to 0, 4 or =4." @default.
• W4309078925 created "2022-11-21" @default.
• W4309078925 creator A5043284182 @default.
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• W4309078925 date "2023-01-01" @default.
• W4309078925 modified "2023-10-17" @default.
• W4309078925 title "Existence of concentrating solutions of the Hartree type Brezis-Nirenberg problem" @default.
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• W4309078925 doi "https://doi.org/10.1016/j.jde.2022.10.041" @default.
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