论文标题
用于各向异性分数Sobolev空间的Bourgain-Brezis-Mironescu公式，并应用于各向异性分数微分方程
A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations
论文作者
论文摘要
在本文中，我们证明了Bourgain-Brezis-Mironescu的类型结果（参见\ Cite {BBM2001}）（简称BBM），用于与分数各向异性P-Laplacian密切相关的能量功能。我们还提供了MAZ'AYA-SHAPOSHNIKOVA（参见\ cite {MS}）的类似于这些能量的结果，最后我们应用这些结果来分析解决方案对各向异性分数$ p-p- $ laplacian方程的稳定性。
In this paper we prove Bourgain-Brezis-Mironescu's type results (cf. \cite{BBM2001}) (BBM for short) for an energy functional which is strongly related to the fractional anisotropic p-Laplacian. We also provide with the analogous of Maz'ya-Shaposhnikova (see \cite{MS}) type results for these energies and finally we apply these results to analyze the stability of solutions to anisotropic fractional $p-$laplacian equations.
