TY - JOUR T1 - Inequalities of Eigenvalues for Uniformly Elliptic Operators with Higher Orders AU - Gao Jia , Peibiao Zhao & Xiaoping Yang JO - Journal of Partial Differential Equations VL - 4 SP - 356 EP - 364 PY - 2001 DA - 2001/11 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5489.html KW - Uniformly elliptic operators with higher orders KW - eigenvalues KW - eigenfuctions AB - Let (Ω) ⊂ R^m (m ≥ 2) be a bounded domain with piecewise smooth boundary ∂Ω. Let t be positive integer with t > 1. We consider the eigenvalue problems about (1.1) and (1.2), and obtain Theorem 2.1 and Theorem 2.2, which are generalizations of the results in [1-2]. This kind of problem is interesting and significant both in theory of partial differential equations and in applications to mechanics and physics.