On a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in the whole space
On a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in the whole space
The aim of this paper is to establish some existence results for a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in $ \mathbb{R}^N $. Under some appropriate conditions, the existence of at least one nontrivial solutions is obtained by applying variational techniques.