Let D be a bounded domain in an n-dimensional Euclidean space ℝ n. Assume that $
$0<\lambda _1\leqslant\lambda _2\leqslant\cdots\leqslant\lambda _k\leqslant\cdots $$ are …

In this paper, we study eigenvalues of Laplacian with any order on a bounded domain in an
n-dimensional Euclidean space and obtain estimates for eigenvalues, which are the Yang …

In this paper, we investigate an eigenvalue problem of Dirichlet Laplacian on a bounded
domain Ω in an n-dimensional Euclidean space R n. If λ k+ 1 is the (k+ 1) th eigenvalue of …

For the eigenvalue problem of the Dirichlet Laplacian on a bounded domain in Euclidean
space ℝ n, we obtain estimates for the upper bounds of the gaps between consecutive …

UNIVERSAL BOUNDS FOR EIGENVALUES OF LAPLACIAN OPERATOR OF ANY ORDER
Page 1 Acta Mathematica Scientia 2010,30B(3):939–948 http://actams.wipm.ac.cn UNIVERSAL …

A lower bound for eigenvalues of the poly-Laplacian with arbitrary order Page 1 Pacific Journal of
Mathematics A LOWER BOUND FOR EIGENVALUES OF THE POLY-LAPLACIAN WITH …

The aim of this paper is to give bounds for the eigenvalues of the Laplacian on a domain in
Euclidean space and on a compact Riemannian manifold. First, we consider the eigenvalue …

For a bounded domain Ω in a complete Riemannian manifold M, we investigate the Dirichlet
weighted eigenvalue problem of quadratic polynomial operator Δ2− aΔ+ b of the Laplacian …

In this article we consider the following weighted nonlinear eigenvalue problem for the $ g-$
Laplacian $$-\mathop {\text {div}}\left (g (|\nabla u|)\frac {\nabla u}{|\nabla u|}\right)=\lambda …

In this paper we study eigenvalues of the poly-Laplacian with any order on a domain in an n-
dimensional unit sphere and obtain estimates for eigenvalues. In particular, the optimal …