Inequalities of Dirichlet eigenvalues for degenerate elliptic partial differential operators

Na Huang, Jingjing Xue

Let $X_j,Y_j(j=1,\cdot \cdot \cdot ,n)$ be vector fields satisfying Hörmander's condition and ${\Delta }_L=\sum _{j=1}^n(X_j^2+Y_j^2)$. In this paper, we establish s…