论文标题
在第一个分数本征函数的形状上
On the shape of the first fractional eigenfunction
论文作者
论文摘要
我们表明，分数laplacian $ {（ - δ）}^s $，$ s \ in（1/2,1）$的第一个本征功能是单一球的超级谐音，最高尺寸为$ 11 $。为此，我们还依靠计算机辅助的步骤来估计一个相当复杂的恒定步骤，具体取决于尺寸和功率$ S $。
We show that the first eigenfunction of the fractional Laplacian ${(-Δ)}^s$, $s\in(1/2,1)$, is superharmonic in the unitary ball up to dimension $11$. To this aim, we also rely on a computer-assisted step to estimate a rather complicated constant depending on the dimension and the power $s$.
