Eigenvalue estimate for the weighted p-Laplacian |
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Authors: | Lin Feng Wang |
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Institution: | 1. School of Science, Nantong University, Nantong, Jiangsu, 226007, China
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Abstract: | Let M be an n-dimensional closed manifold with metric g, dμ = e h(x) dV(x) be the weighted measure and ? μ, p be the weighted p-Laplacian. In this article, we get the lower bound estimate of the first nonzero eigenvalue for the weighted p-Laplacian when the m-dimensional Bakry-émery curvature has a positive lower bound. |
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