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- W2070297625 startingPage "343" @default.
- W2070297625 abstract "We study the convexity of the first eigenfunction of the drifting Laplacian operator with zero Dirichlet boundary value provided a suitable assumption to the drifting term is added. We firstly generalize some results of N. Korevaar and S.-T. Yau to gain a Hessian estimate of the first eigenfunction. As an application, we use this Hessian estimate to get a lower bound of the difference of the first and second eigenvalues of the drifting Laplacian. At the end we also find a lower bound when the Hessian estimate does not hold." @default.
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- W2070297625 date "2009-03-04" @default.
- W2070297625 modified "2023-09-23" @default.
- W2070297625 title "Convex eigenfunction of a drifting Laplacian operator and the fundamental gap" @default.
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- W2070297625 doi "https://doi.org/10.2140/pjm.2009.240.343" @default.
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