Na Huang

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math.AP2014

Some New Inequalities of Dirichlet Eigenvalues for Laplace Operator with any Order

Na Huang, Pengcheng Niu

In this paper, we establish several inequalities of Dirichlet eigenvalues for Laplace operator $Δ$ with any order on \emph{n}-dimensional Euclidean space. These inequalities are mo…

math.AP2014

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 $Δ_{L} = j = 1 \sum n (X_{j}^{2} + Y_{j}^{2})$ . In this paper, we establish s…