EIGENVALUE ESTIMATES FOR HIGHER ORDER ELLIPTIC EQUATIONS

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Published: Sep 1, 1994
DOI: https://doi.org/10.5556/j.tkjm.25.1994.4454
Keywords:
Dirichlet problem generalized Polya conjecture generalized ratio eigenvalue eigenfunction consecutive eigenvalues Fourier transform mini-max principle Rayleigh theorem

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HSU-TUNG KU
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003. U.S.A.
MEI-CHIN KU
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003. U.S.A.
XIN-MIN ZHANG
Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688. U.S.A.

Abstract




In this paper, we obtain good lower bound estimates of eigenvalues for various Dirichlet eigenvalue problems of higher order elliptic equations on bounded domains in $\mathbb{R}^n$.




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How to Cite
KU, H.-T., KU, M.-C., & ZHANG, X.-M. (1994). EIGENVALUE ESTIMATES FOR HIGHER ORDER ELLIPTIC EQUATIONS. Tamkang Journal of Mathematics, 25(3), 267–278. https://doi.org/10.5556/j.tkjm.25.1994.4454
Issue
Vol. 25 No. 3 (1994)
Section
Papers
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