In this paper we address the following Kirchhoff type problem ⎧⎨ − Δ ( g ( | ∇ u | 2 2 ) u + u r ) = a u + b u p ⎩u > 0 u = 0 i n Ω , in Ω, on ∂Ω, in a bounded and smooth domain Ω in RN . By using change of variables and bifurcation methods, we show, under suitable conditions on the parameters a, b, p, r and the non-linearity g, the existence of positive solutions.
Existence results of positive solutions for Kirchhoff type equations via bifurcation methods
Siciliano, Gaetano;
2017-01-01
Abstract
In this paper we address the following Kirchhoff type problem ⎧⎨ − Δ ( g ( | ∇ u | 2 2 ) u + u r ) = a u + b u p ⎩u > 0 u = 0 i n Ω , in Ω, on ∂Ω, in a bounded and smooth domain Ω in RN . By using change of variables and bifurcation methods, we show, under suitable conditions on the parameters a, b, p, r and the non-linearity g, the existence of positive solutions.File in questo prodotto:
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