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Abstract This paper deals with maximum principles depending on the domain and ABP estimates associated to the following Lane–Emden system involving fractional Laplace operators: { (- Δ) s u = λ ρ (x) | v | α - 1 v in Ω, (- Δ) t v = μ τ (x) | u | β - 1 u in Ω, u = v = 0 in ℝ n ∖ Ω, <jats: graphic xmlns: xlink="http: //www. w3. org/1999/xlink" xlink: href="graphic/jₐns-2021-2042fig₀
Edir Junior Ferreira Leite (Tue,) studied this question.
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