Asymptotic behaviour of Dirichlet eigenvalues for homogeneous Hörmander operators and algebraic geometry approach

Hua Chen, Hong-Ge Chen, Jin-Ning Li

We study the Dirichlet eigenvalue problem of homogeneous Hörmander operators ${△}_X={\sum }_{j=1}^m{X}_j^2$ on a bounded open domain containing the origin, where $X_1, X_2…