Fractional elliptic reaction-diffusion systems with coupled gradient terms and different diffusion

2025/03/24 by Atmani, Somia, Biroud, Kheireddine, Daoud, Maha +1
#35B45 #35G50 #35J62 #35R11 #47H10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.18717

Abstract

In this work, we study the existence and nonexistence of nonnegative solutions to a class of nonlocal elliptic systems set in a bounded open subset of ℝ^N. The diffusion operators are of type u_i↦ d_i(-Δ)^s_iu_i where 0

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