论文标题
P-Sub-Laplacians的主频率用于通用矢量场
Principal frequency of p-sub-Laplacians for general vector fields
论文作者
论文摘要
在本文中，我们证明了Dirichlet P-Sub-Laplacian的主频率（或第一个特征值）的独特性和简单性。作为副产品，我们建立了Caccioppoli不平等现象，并在Grushin平面和Heisenberg组上讨论特定案例。
In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet p-sub-Laplacian for general vector fields. As a byproduct, we establish the Caccioppoli inequalities and also discuss the particular cases on the Grushin plane and on the Heisenberg group.
