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Estimates for the first eigenvalues of divergence type operators

Volume 175 / 2024

Guangyue Huang, Qi Guo, Botao Wang Colloquium Mathematicum 175 (2024), 97-113 MSC: Primary 53C21; Secondary 58J32 DOI: 10.4064/cm8930-1-2024 Published online: 14 March 2024

Abstract

We study the first nonzero eigenvalues of the divergence type operator $L_{\phi ,V}^{g}$. For compact smooth metric measure spaces with boundary, we obtain lower bounds for the first nonzero eigenvalues of several types of eigenvalue problems for the square of $L_{\phi ,V}^{g}$.

Authors

  • Guangyue HuangCollege of Mathematics and Information Science
    Henan Normal University
    453007 Xinxiang, P.R. China
    e-mail
  • Qi GuoCollege of Mathematics and Information Science
    Henan Normal University
    453007 Xinxiang, P.R. China
    e-mail
  • Botao WangCollege of Mathematics and Information Science
    Henan Normal University
    453007 Xinxiang, P.R. China
    e-mail

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