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Volume 14, Issue 4
Inequalities of Eigenvalues for Uniformly Elliptic Operators with Higher Orders

Gao Jia , Peibiao Zhao & Xiaoping Yang

J. Part. Diff. Eq., 14 (2001), pp. 356-364.

Published online: 2001-11

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  • Abstract
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.
  • Keywords

Uniformly elliptic operators with higher orders eigenvalues eigenfuctions

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@Article{JPDE-14-356, author = {Gao Jia , Peibiao Zhao and Xiaoping Yang }, title = {Inequalities of Eigenvalues for Uniformly Elliptic Operators with Higher Orders}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {4}, pages = {356--364}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5489.html} }
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.
Gao Jia , Peibiao Zhao and Xiaoping Yang . (2001). Inequalities of Eigenvalues for Uniformly Elliptic Operators with Higher Orders. Journal of Partial Differential Equations. 14 (4). 356-364. doi:
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