Journal of the
Korean Mathematical Society JKMS

We are concerned with the following elliptic equations: \begin{equation*} (-\Delta)_p^su+V(x)|u|^{p-2}u=\lambda g(x,u) \quad \textmd{in} \quad \mathbb R^{N}, \end{equation*} where $(-\Delta)^s_p$ is the fractional $p$-Laplacian operator with $0

Keywords: fractional $p$-Laplacian, variational methods, critical point theory

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

Supported by: J.-M. Kim was supported by National Research Foundation of Korea Grant funded by the Korean Government (NRF-2016R1D1A1B
03930422) and this work was supported by a Research Grant of Andong National University. Y.-H. Kim was supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2016R1D1A1B03935866). J. Lee was supported by Brain Korea 21 plus Mathematical Science Team for Global Women Leaders at Ewha Womans University and the Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07048620).