Semilinear problems for the fractional laplacian with a singular nonlinearity

Begoña Barrios ; Ida De Bonis ; María Medina ; Ireneo Peral

Open Mathematics, Tome 13 (2015), / Harvested from The Polish Digital Mathematics Library

Résumé

The aim of this paper is to study the solvability of the problem [...] where Ω is a bounded smooth domain of RN, N > 2s, M ε {0, 1}, 0 < s < 1, γ > 0, λ > 0, p > 1 and f is a nonnegative function. We distinguish two cases: – For M = 0, we prove the existence of a solution for every γ > 0 and λ > 0. A1 – For M = 1, we consider f ≡ 1 and we find a threshold ʌ such that there exists a solution for every 0 < λ < ʌ ƒ, and there does not for λ > ʌ ƒ

Détail

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:271034

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