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- W4200448946 abstract "In this paper, we consider estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential. By using the Fourier transformation and some sub-elliptic estimates, we get the Li-Yau type lower bound estimates for the eigenvalues. Especially, if the degenerate vector fields are Grushin type vector fields satisfying the generalized Métivier condition, we not only obtain lower bound estimates, but also get the Yang-type inequalities as upper bounds for eigenvalues by using the trail function." @default.
- W4200448946 created "2021-12-31" @default.
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- W4200448946 date "2022-04-01" @default.
- W4200448946 modified "2023-09-23" @default.
- W4200448946 title "Estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential" @default.
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- W4200448946 doi "https://doi.org/10.1016/j.jmaa.2021.125907" @default.
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