Weighted ;
-Laplacian;
Bakry-Émery curvature;
Maximum principle;
Eigenvalue;
53C21;
D O I:
暂无
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摘要:
Let M be an n-dimensional closed manifold with metric g, dμ = eh(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.
机构:
Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840, JapanDepartment of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840, Japan
Furusho, Yasuhiro
Murata, Yuji
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机构:
Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840, JapanDepartment of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840, Japan
机构:
Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
Borba, Elizandro Max
Schwerdtfeger, Uwe
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机构:
Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, GermanyUniv Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
Schwerdtfeger, Uwe
ELECTRONIC JOURNAL OF COMBINATORICS,
2018,
25
(02):
机构:
Univ Roma I, Dipartimento Matemat G Castelnuovo, Piazzale Aldo Moro 2, I-00185 Rome, ItalyUniv Roma I, Dipartimento Matemat G Castelnuovo, Piazzale Aldo Moro 2, I-00185 Rome, Italy
Crasta, Graziano
Fragala, Ilaria
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机构:
Politecn Milan, Dipartimento Matemat, Piazza Leonardo da Vinci 32, I-20133 Milan, ItalyUniv Roma I, Dipartimento Matemat G Castelnuovo, Piazzale Aldo Moro 2, I-00185 Rome, Italy
Fragala, Ilaria
Kawohl, Bernd
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机构:
Univ Cologne, Math Inst, D-50923 Cologne, GermanyUniv Roma I, Dipartimento Matemat G Castelnuovo, Piazzale Aldo Moro 2, I-00185 Rome, Italy