Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions

作者：Safarov Yu G^*; Filonov N D

来源：Functional Analysis and Its Applications, 2010, 44(4): 286-294.

DOI：10.1007/s10688-010-0039-5

• Dirichlet and Neumann eigenvalues
• counting function
• boundary value problem

The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference N(N)(lambda) - N(D)(lambda) of counting functions are discussed.

• 出版日期2010-12