Remarks on Eigenvalue Problems for Fractional $p(\cdot )$-Laplacian

Abstract

In this paper, we give some properties and remarks of the new fractional Sobolev spaces with variable exponents. We also study the eigenvalue problem involving the new fractional $p(\cdot )$-Laplacian.

arXiv comment14 pages

References in corpus (1)

• A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications