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

In this paper we study an elliptic variational problem regarding the $p$-fractional Laplacian in $\mathbb{R}^N$ on basis of recent result \cite{Ha1}, which generalizes nice work \cite{AT,AP,XZR1}, and then give some sufficient conditions under weak solutions to above are continuous $\mathbb{R}^N$. final appendix correct proofs both \cite[Lemma 10]{PXZ1} A.6]{PXZ} for $1<p<2$.