论文标题
关于扭转功能的效率和定位
On efficiency and localisation for the torsion function
论文作者
论文摘要
我们考虑了dirichlet laplacian $-Δ$的扭转功能，以及schrödingeroperator $ - δ+ v $在开放套件上的$ - δ+ v $ $ω\ subset \ rebset \ r^m $ $ 0 <|ω|ω|ω|ω| <\ <\ inverty $ a in Interial in nertable-nertable $ $ $ V.功能，以及它们与第一个Dirichlet本征函数的几何形状的相互作用。
We consider the torsion function for the Dirichlet Laplacian $-Δ$, and for the Schrödinger operator $- Δ+ V$ on an open set $Ω\subset \R^m$ of finite Lebesgue measure $0<|Ω|<\infty$ with a real-valued, non-negative, measurable potential $V.$ We investigate the efficiency and the phenomenon of localisation for the torsion function, and their interplay with the geometry of the first Dirichlet eigenfunction.
