论文标题
Brezis-Nirenberg类型的局部和非局部运营商的结果
A Brezis-Nirenberg type result for mixed local and nonlocal operators
论文作者
论文摘要
我们研究了通过拉普拉斯（Laplacian）与分数laplacian叠加获得的混合顺序操作员的关键问题。特别是，我们研究了相应的Sobolev不等式，检测到最佳常数，我们证明了这是从未实现的。此外，我们为相应的亚临界扰动问题提供了一种存在（和不存在）理论。
We study a critical problem for an operator of mixed order obtained by the superposition of a Laplacian with a fractional Laplacian. In particular, we investigate the corresponding Sobolev inequality, detecting the optimal constant, which we show that is never achieved. Moreover, we present an existence (and nonexistence) theory for the corresponding subcritical perturbation problem.
