Journal of the
Korean Mathematical Society JKMS

Using the three critical points theorem by B. Ricceri \cite{Ricceri1}, we obtain a multiplicity result for a class of nonlocal problems in Orlicz-Sobolev spaces. To our knowledge, this is the first contribution to the study of nonlocal problems in this class of functional spaces.

Keywords: nonlocal problems, Orlicz-Sobolev spaces, multiple solutions, three critical points theorem

MSC numbers: 34B27, 35J60, 35B05