论文标题
$ p $ - 分类laplacian的椭圆问题的弱解决方案的连续性
Continuity of weak solutions to an elliptic problem on $p$-fractional Laplacian
论文作者
论文摘要
In this paper we study an elliptic variational problem regarding the $p$-fractional Laplacian in $\mathbb{R}^N$ on the basis of recent result \cite{Ha1}, which generalizes the nice work \cite{AT,AP,XZR1}, and then give some sufficient conditions under which some weak solutions to the above elliptic variational problem are continuous in $ \ mathbb {r}^n $。在最后的附录中，我们以$ 1 <p <2 $的价格纠正\ cite [lemma 10] {pxz1}和\ cite [lemma a.6] {pxz}的证明。
In this paper we study an elliptic variational problem regarding the $p$-fractional Laplacian in $\mathbb{R}^N$ on the basis of recent result \cite{Ha1}, which generalizes the nice work \cite{AT,AP,XZR1}, and then give some sufficient conditions under which some weak solutions to the above elliptic variational problem are continuous in $\mathbb{R}^N$. In the final appendix we correct the proofs of both \cite[Lemma 10]{PXZ1} and \cite[Lemma A.6]{PXZ} for $1<p<2$.
