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• W3147357296 abstract "In this paper, we investigate the following fractional Kirchhoff equation: (a+b∫R3|(−Δ)s2u|dx)(−Δ)su+V(x)u=f(u),x∈R3,where a>0,b≥0, (−Δ)s denotes the fractional Laplacian operator with order s∈(34,1), V is a positive continuous potential and f is supercubic but subcritical functional at infinity with some valid conditions. We prove that there exist multiple sign-changing solutions for the above problem via the method of invariant sets of descending flow. In particular, the nonlinear term includes the power-type nonlinearity f(u)=|u|p−2u for the less studied case p∈(3,4). Even for s = 1, our result is new and extends the existing results in the literature." @default.
• W3147357296 created "2021-04-13" @default.
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• W3147357296 date "2021-03-31" @default.
• W3147357296 modified "2023-09-30" @default.
• W3147357296 title "Infinitely many sign-changing solutions for nonlinear fractional Kirchhoff equations" @default.
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• W3147357296 doi "https://doi.org/10.1080/00036811.2021.1909722" @default.
• W3147357296 hasPublicationYear "2021" @default.
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