Abstract
In this paper, we use the boundary measurements of normalized eigenfunctions to estimate the variation of the corresponding eigenvalues. With this form, we can show that some eigenvalues, as functions of domain, possess monotonicity as the domain varies according some constraints.
Citation
Chung-Tsun Shieh. "ON HIGHER ORDER EIGENVALUES OF THE SPHERICAL LAPLACIAN OPERATOR." Taiwanese J. Math. 9 (3) 521 - 530, 2005. https://doi.org/10.11650/twjm/1500407859
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