Na Huang, Pengcheng Niu
Published 2014-05-04Version 1
In this paper, we establish several inequalities of Dirichlet eigenvalues for Laplace operator $\Delta $ with any order on \emph{n}-dimensional Euclidean space. These inequalities are more general than known Yang's inequalities and contain new consequences. To obtain them, we borrow the approach of Illias and Makhoul, and use a generalized Chebyshev's inequality.
Bounds of Dirichlet eigenvalues for Hardy-Leray operator
Transformation of a variational problem in the Euclidean space to that of a tuple of functions on several regions
Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R^d
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