Abstract The behavior of positive solutions of the nonlocal elliptic problem aligned \{ array{ll u+ u-a (x) + uᵖ-b (x) u _ c (y) uʳ (y) \, dy=0, & x, \\ u=0, & x, array. } aligned Δ u + λ u - a (x) + ε u p - b (x) u ∫ Ω c (y) u r (y) d y = 0, x ∈ Ω, u = 0, x ∈ ∂ Ω, is studied, where {R}N (N 1 Ω ⊂ R N (N ≥ 1) is a bounded domain with smooth boundary, >0 λ > 0, p>1 p > 1 and r 1 r ≥ 1, a, b C^ ({
Sun et al. (Sat,) studied this question.
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