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research article
Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound
We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by providing sharp estimates on the first nonzero eigenvalue of the nonlinear operator when the Ricci curvature is bounded from below by a negative constant. We assume that the boundary of the manifold is convex, and put Neumann boundary conditions on it. The proof is based on a refined gradient comparison technique and a careful analysis of the underlying model spaces.
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209_2014_Article_1282.pdf
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Publisher's version
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openaccess
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309.68 KB
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