TY - JOUR
T1 - Inequalities of Eigenvalues for Uniformly Elliptic Operators with Higher Orders
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.