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Eigenvalue estimate for a weighted p-Laplacian on compact manifolds with boundary |
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| Authors: | Lin-Feng Wang Yue-Ping Zhu |
| Institution: | 1. School of Science, Nantong University, Nantong, China |
| Abstract: | Let (M n , g) be a compact Riemannian manifold with convex boundary, let dμ = e h(x) dV (x) be a weighted measure on M, and let Δμ,p be the corresponding weighted p-Laplacian on M. We obtain a lower bound for the first nonzero Neumann eigenvalue of Δμ,p . |
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