Removable Sets for Weighted Orlicz-Sobolev Spaces

In this paper, we provide a concrete criterion for sets lying in a hyperplane to be removable for weighted Orlicz–Sobolev spaces. We define porous sets and show that the porous sets lying in a hyperplane are removable; this is a generalization of the results in Karak (Potential Anal 43(4):675–694, 2015 ), Futamura and Mizuta (Hiroshima Math J 33:43–57, 2003 ).