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Article Dans Une Revue Rendiconti del Circolo Matematico di Palermo Année : 2022

Some existence and uniqueness results for logistic Choquard equations

Some existence and uniqueness results for logistic Choquard equations

Résumé

We consider the following doubly nonlocal nonlinear logistic problem driven by the fractional p-Laplacian (−Δ)spu=f(x,u)−⎛⎝⎜∫Ω|u(y)|r|x−y|αdy⎞⎠⎟|u(x)|r−2u(x) in Ω, u=0 in RN∖Ω. Here Ω⊂RN(N≥2) is a bounded domain with C1,1 boundary ∂Ω, s∈(0,1), p∈(1,∞) are such that ps
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Dates et versions

hal-03558663 , version 1 (04-02-2022)

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G. Anthal, Jacques Giacomoni, K. Sreenadh. Some existence and uniqueness results for logistic Choquard equations. Rendiconti del Circolo Matematico di Palermo, 2022, 71 (3), pp.997-1034. ⟨10.1007/s12215-022-00722-1⟩. ⟨hal-03558663⟩
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