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- W340038401 abstract "For a bounded domain with a piecewise smooth boundary in an n-dimensional Euclidean space R n , we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. By making use of a fact that eigenfunctions form an orthonormal basis of L 2 () in place of the Rayleigh-Ritz formula, we obtain inequalities for eigenvalues of the Laplacian. In particular, we study a conjecture of Payne, Polya and Weinberger on lower order eigenvalues. Our results will become an important progress for solving this conjecture." @default.
- W340038401 created "2016-06-24" @default.
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- W340038401 date "2011-04-28" @default.
- W340038401 modified "2023-09-24" @default.
- W340038401 title "INEQUALITIES FOR EIGENVALUES OF THE LAPLACIAN" @default.
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