On the lowest eigenvalue of the Laplacian for the intersection of two domains

Author:

Lieb Elliott H.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference14 articles.

1. Brascamp, H.J., Lieb, E.H.: Some inequalities for Gaussian measures and the long-range order of the one-dimensional plasma. In: Functional Integration and its Applications, Arthurs, A.M. (ed.) pp. 1?14. Oxford: Clarendon Press 1975

2. Cheeger, J.: A lower bound for the smallest eigenvalue of the Laplacian. In: Problems in Analysis, a Symposium in Honor of Salomon Bochner, Gunning, R.C. (ed.) pp. 145?199. Princeton, N.J.: Princeton University Press 1970

3. Cheng, S.Y.: On the Hayman-Osserman-Taylor inequality, (preprint).

4. Croke, C.B.: The first eigenvalue of the Laplacian for plane domains. Proc. Amer. Math. Soc.81, 304?305 (1981)

5. Faber, C.: Beweis das unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt, Sitzungsber. Bayer. Akad. der Wiss. Math. Phys., Munich 1923, pp. 169?172

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