Some inequalities involving eigenvalues of the Neumann Laplacian

Author:

Enache C.1,Philippin G.A.2

Affiliation:

1. Department of Mathematics; Ovidius University; Constanta 900 527 Romania

2. Department of Mathematics; Laval University; Québec G1K 7P4 Canada

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference18 articles.

1. Universal bounds for the low eigenvalues of Neumann Laplacians in N dimensions;Ashbaugh;SIAM Journal on Mathematical Analysis,1993

2. Extremum Problems for Eigenvalues of Elliptic Operators

3. Inequalities for certain eigenvalues of a membrane of given area;Szegő;Journal of Rational Mechanics and Analysis,1954

4. An isoperimetric inequality for the N-dimensional free memebrane problem;Weinberger;Journal of Rational Mechanics and Analysis,1956

5. Maximization of the second positive Neumann eigenvalue for planar domains;Girouard;Journal of Differential Geometry,2009

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