Journal of the
Korean Mathematical Society JKMS

We are concerned with the following elliptic equations: \begin{equation*} \begin{cases} (-\Delta)_p^su=\lambda f(x,u) \quad \textmd{in} \ \ \Omega,\\ u= 0\quad \text{on}\ \ \mathbb{R}^N\backslash\Omega, \end{cases} \end{equation*} where $\lambda$ are real parameters, $(-\Delta)_p^s$ is the fractional $p$-Laplacian operator, $0

Keywords: Fractional $p$-Laplacian, weak solution, critical points, variational method

MSC numbers: 35R11, 35A15, 35J60, 49R05

Supported by: This research was supported by a 2017 Research Grant from Sangmyung University.