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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Mathématiques [math]Jacques Giacomoni : Connectez-vous pour contacter le contributeur
https://hal.science/hal-03558663
Soumis le : vendredi 4 février 2022-19:01:17
Dernière modification le : mardi 30 avril 2024-13:55:48
Citer
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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