论文标题
$（s，p）$ - 函数的谐波近似至少$ w^{s，1} $ - seminorm
$(s,p)$-harmonic approximation of functions of least $W^{s,1}$-seminorm
论文作者
论文摘要
我们将融合作为$ w^{s，p} $的最小化器的$ p \ searrow1 $ - 在（0,1）$中的$ s \ in（0,1）$和$ p \ in（1，\ infty）$ in（1，\ infty）$ for $ w^{s，1} $ - 在点式的含义和$γ$ converence中，这是对$ w^{s，1} $的能量。我们还解决了相应的欧拉格兰式方程的收敛性，以及最小化和弱解决方案之间的等效性。作为辅助结果，我们研究了有关$ w^{s，1} $ - 能量的一些规律性问题。
We investigate the convergence as $p\searrow1$ of the minimizers of the $W^{s,p}$-energy for $s\in(0,1)$ and $p\in(1,\infty)$ to those of the $W^{s,1}$-energy, both in the pointwise sense and by means of $Γ$-convergence. We also address the convergence of the corresponding Euler-Lagrange equations, and the equivalence between minimizers and weak solutions. As ancillary results, we study some regularity issues regarding minimizers of the $W^{s,1}$-energy.
