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Boundedness of the first eigenvalue of the -Laplacian
Authors:Ana-Maria Matei
Affiliation:Department of Mathematics and Computer Science, Loyola University New Orleans, 6363 St. Charles Avenue, New Orleans, Louisiana 70118
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.

Keywords:$p$-Laplacian   eigenvalue
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