We study the existence and multiplicity of solutions for the non-local perturbed Kirchhoff problem (∫) − a + b |∇u|2 dx ∆u = λg(x, u) + f(x, u), in Ω, Ω u = 0, on ∂Ω, where Ω is a bounded smooth domain in RN, N > 4, a, b, λ > 0, and f, g: Ω × R → R are Carathéodory functions, with f subcritical, and g of arbitrary growth. This paper is motivated by a recent results by Faraci and Silva [4] where existence and multiplicity results were obtained when g is subcritical and f is a power-type function with critical exponent.
EXISTENCE AND MULTIPLICITY RESULTS FOR SUPERCRITICAL NONLOCAL KIRCHHOFF PROBLEMS
Anello G.
2023-01-01
Abstract
We study the existence and multiplicity of solutions for the non-local perturbed Kirchhoff problem (∫) − a + b |∇u|2 dx ∆u = λg(x, u) + f(x, u), in Ω, Ω u = 0, on ∂Ω, where Ω is a bounded smooth domain in RN, N > 4, a, b, λ > 0, and f, g: Ω × R → R are Carathéodory functions, with f subcritical, and g of arbitrary growth. This paper is motivated by a recent results by Faraci and Silva [4] where existence and multiplicity results were obtained when g is subcritical and f is a power-type function with critical exponent.File in questo prodotto:
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