On two conjectures in the fixed membrane eigenvalue problem

Author:

Payne Lawrence E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference6 articles.

1. R. Courant andD. Hilbert,Methods in Mathematical Physics, vol. 1. Interscience, New York (1953).

2. E. Hopf.A Remark on Linear Elliptic Differential Equations of Second Order. Proc. Amer. Math. Soc.3, 291–293 (1952).

3. L. E. Payne,Isoperimetric Inequalities and their Applications, SIAM Review,9, 453–488 (1967).

4. L. E. Payne andI. Stakgold,On the Mean Value of the Fundamental Mode in the Fixed Membrane Problem, J. Appl. Anal., to appear.

5. L. E. Payne andH. F. Weinberger,A Faber-Krahn Inequality for Wedge Like Domains, J. Math. Phys.39, 182–188 (1960).

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