Boundedness of the first eigenvalue of the 𝑝-Laplacian

Matei, Ana-Maria

doi:10.1090/S0002-9939-05-07802-0

Boundedness of the first eigenvalue of the $p$-Laplacian
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Proc. Amer. Math. Soc. 133 (2005), 2183-2192 Request permission

Abstract:

We prove that for any $p>1$, any compact manifold of three or more dimensions carries Riemannian metrics of volume one with the first eigenvalue of the $p$-Laplacian arbitrarily large.

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