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- W1976831147 abstract "In this paper, we use the Fountain Theorem and the Dual Fountain Theorem to study the existence of infinitely many solutions for Kirchhoff type equations involving nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions. A model for these operators is given by the fractional Laplacian of Kirchhoff type:{M(∬R2N|u(x)−u(y)|2|x−y|N+2sdxdy)(−Δ)su(x)−λu=f(x,u)in Ωu=0in RN∖Ω, where Ω is a smooth bounded domain of RN, (−Δ)s is the fractional Laplacian operator with 0<s<1 and 2s<N, λ is a real parameter, M is a continuous and positive function and f is a Carathéodory function satisfying the Ambrosetti–Rabinowitz type condition." @default.
- W1976831147 created "2016-06-24" @default.
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- W1976831147 date "2015-06-01" @default.
- W1976831147 modified "2023-10-01" @default.
- W1976831147 title "Infinitely many solutions for a fractional Kirchhoff type problem via Fountain Theorem" @default.
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- W1976831147 doi "https://doi.org/10.1016/j.na.2015.03.015" @default.
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