no. 4
On the Sobolev constant and the p-spectrum of a compact riemannian manifold
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 13 (1980) no. 4, pp. 451-468. 
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     author = {Li, Peter},
     title = {On the {Sobolev} constant and the $p$-spectrum of a compact riemannian manifold},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {451--468},
     publisher = {Elsevier},
     volume = {Ser. 4, 13},
     number = {4},
     year = {1980},
     doi = {10.24033/asens.1392},
     mrnumber = {82h:58054},
     zbl = {0466.53023},
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     url = {http://www.numdam.org/articles/10.24033/asens.1392/}
}
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Li, Peter. On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 13 (1980) no. 4, pp. 451-468. doi : 10.24033/asens.1392. http://www.numdam.org/articles/10.24033/asens.1392/

[1] E. Bombieri, Theory of Minimal Surfaces and a Counter-Example to the Bernstein Conjecture in High Dimension (Lecture Notes, Courant Institute, 1970).

[2] J. Cheeger, A Lower Bound for the Smallest Eigenvalue of the Laplacian in Problem in Analysis, a Symposium in honor of S. Bochner, Princeton University Press, Princeton, 1970. | Zbl

[3] S. Y. Cheng, Eigenfunctions and Nodal Sets (Comment Math. Helv., Vol. 51, 1976, pp. 43-55). | MR | Zbl

[4] C. Croke, Some Isoperimetric Inequalities and Consequences (Ann. scient. Éc. Norm. Sup., (4), T. 13, 1980, pp. 419-435). | Numdam | MR | Zbl

[5] S. Gallot and D. Meyer, Operateur de courbure et laplacien des formes différentielles d'une variété riemannienne (J. Math. pures et appl., Vol. 54, 1975, pp. 259-284). | MR | Zbl

[6] M. Gromov, Manifolds of Negative Curvature (preprint).

[7] R. Osserman, The Isoperimetric Inequality (Bulletin A.M.S., Vol. 84, No. 6, 1978, pp. 1182-1238). | MR | Zbl

[8] S. T. Yau, Isoperimetric Constants and the First Eigenvalue of a Compact Riemannian Manifold (Ann. scient. Éc. Norm. Sup., Vol. 4, t. 8, 1975, pp. 487-507). | Numdam | MR | Zbl

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