论文标题
关于laplacian的neumann特征值的域单调性的注释
A note on domain monotonicity for the Neumann eigenvalues of the Laplacian
论文作者
论文摘要
鉴于凸面域及其凸子域，我们证明了Laplacian的Neumann特征值的域单调性变体。作为我们方法的应用，我们还获得了凸域Laplacian的Neumann特征值的上限。
Given a convex domain and its convex sub-domain we prove a variant of domain monotonicity for the Neumann eigenvalues of the Laplacian. As an application of our method we also obtain an upper bound for Neumann eigenvalues of the Laplacian of a convex domain.
