
arXiv: 1704.02705
In this paper, we study the fractional Kirchhoff equation with critical nonlinearity \begin{align*} \left(a+b\int_{\mathbb R^N}|(-Δ)^{\frac{s}{2}}u|^2dx\right)(-Δ)^su+u=f(u)\ \ \mbox{in}\ \ \mathbb R^N, \end{align*} where $N>2s$ and $(-Δ)^s$ is the fractional Laplacian with $0
35A15, 35B33, 35J60, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, fractional Kirchhoff equation, variational methods, FOS: Mathematics, Fractional partial differential equations, Critical exponents in context of PDEs, critical growth, Analysis of PDEs (math.AP)
35A15, 35B33, 35J60, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, fractional Kirchhoff equation, variational methods, FOS: Mathematics, Fractional partial differential equations, Critical exponents in context of PDEs, critical growth, Analysis of PDEs (math.AP)
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