Dual variational formulas for the first Dirichlet eigenvalue on half-line
Dual variational formulas for the first Dirichlet eigenvalue on half-line
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DOI：
10.1360/02ys0126
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发表时间：
2003-11
期刊：
影响因子：
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通讯作者：
C. Mufa;Yu-hui Zhang;Xiaoliang Zhao
中科院分区：
文献类型：
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作者：
C. Mufa;Yu-hui Zhang;Xiaoliang Zhao
建立了二阶椭圆算子在半直线上的第一Dirichlet特征值的两个对偶变分公式。给出了特征值仅依赖于算子系数的显式界。此外，还研究了离散情形下的相应问题和连续情形下的高阶特征值问题。
The aim of the paper is to establish two dual variational formulas for the first Dirichlet eigenvalue of the second order elliptic operators on half-line. Some explicit bounds of the eigenvalue depending only on the coefficients of the operators are presented. Moreover, the corresponding problems in the discrete case and the higher-order eigenvalues in the continuous case are also studied.