论文标题
Biharmonic Steklov操作员以差异形式
Biharmonic Steklov operator on differential forms
论文作者
论文摘要
我们通过考虑合适的边界条件在差异形式上引入了Biharmonic Steklov问题。我们表征其最小的特征值并证明了光谱的基本特性。我们获得了第一个特征值的各种估计，其中一些涉及其他问题的特征值，例如Dirichlet，Neumann，Robin和Steklov。独立地，证明了与后一种问题的特征值有关的新不平等现象。
We introduce the biharmonic Steklov problem on differential forms by considering suitable boundary conditions. We characterize its smallest eigenvalue and prove elementary properties of the spectrum. We obtain various estimates for the first eigenvalue, some of which involve eigenvalues of other problems such as the Dirichlet, Neumann, Robin and Steklov ones. Independently, new inequalities relating the eigenvalues of the latter problems are proved.
