Semilinear problems for the fractional laplacian with a singular nonlinearity

Author:

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

Abstract

AbstractThe aim of this paper is to study the solvability of the problemwhere Ω is a bounded smooth domain of R– 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

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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