Continuity of weak solutions to an elliptic problem on p$$ p $$‐fractional Laplacian

Abstract

In this paper, we study an elliptic variational problem regarding the ‐fractional Laplacian in on the basis of recent result which generalizes some nice published work, and then give some sufficient conditions under which some weak solutions to our studied elliptic variational problem are continuous in . In the final appendix, we correct the proofs of two published lemmas for .