On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method

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Abstract

We investigate the questions of existence of positive solution for the nonlocal problem -M(∥u∥2)Δu = f(λ,u) in Ω and u = 0 on ∂Ω, where Ω is a bounded smooth domain of ℝN, and M and f are continuous functions.

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Corrêa, F. J., & Figueiredo, G. M. (2006). On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method. Boundary Value Problems, 2006. https://doi.org/10.1155/BVP/2006/79679

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