Abstract Let $\Omega \subset R^m (m\ge 1)$ be a bounded domain with piecewise smooth boundary $\partial \Omega$. Let t and r be positive integers with t > r + 1. We consider the eigenvalue problems (1.1) and (1.2),...Abstract Let $\Omega \subset R^m (m\ge 1)$ be a bounded domain with piecewise smooth boundary $\partial \Omega$. Let t and r be positive integers with t > r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].展开更多
Let Ωbelong to R^m （m≥ 2） be a bounded domain with piecewise smooth and Lipschitz boundary δΩ Let t and r be two nonnegative integers with t ≥ r ＋ 1. In this paper, we consider the variable-coefficient eigenva...Let Ωbelong to R^m （m≥ 2） be a bounded domain with piecewise smooth and Lipschitz boundary δΩ Let t and r be two nonnegative integers with t ≥ r ＋ 1. In this paper, we consider the variable-coefficient eigenvalue problems with uniformly elliptic differential operators on the left-hand side and （-Δ）^T on the right-hand side. Some upper bounds of the arbitrary eigenvalue are obtained, and several known results are generalized.展开更多
文摘Abstract Let $\Omega \subset R^m (m\ge 1)$ be a bounded domain with piecewise smooth boundary $\partial \Omega$. Let t and r be positive integers with t > r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].
基金Supported by the National Natural Science Foundation of China(No.10471063)
文摘Let Ωbelong to R^m （m≥ 2） be a bounded domain with piecewise smooth and Lipschitz boundary δΩ Let t and r be two nonnegative integers with t ≥ r ＋ 1. In this paper, we consider the variable-coefficient eigenvalue problems with uniformly elliptic differential operators on the left-hand side and （-Δ）^T on the right-hand side. Some upper bounds of the arbitrary eigenvalue are obtained, and several known results are generalized.
