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论文类型：期刊论文

发表时间：2021-03-05

发表刊物：OPEN MATHEMATICS

卷号：18

页面范围：1518-1530

ISSN号：2391-5455

关键字：eigenvalue; Laplace operator; p-Laplace operator; monotonicity; forced mean curvature flow

摘要：In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF). By imposing conditions associated with the mean curvature of the initial hypersurface and the coefficient function of the forcing term of a forced MCF, and some special pinching conditions on the second fundamental form of the initial hypersurface, we prove that the first nonzero closed eigenvalues of the Laplace operator and the p-Laplace operator are monotonic under the forced MCF, respectively, which partially generalize Mao and Zhao's work. Moreover, we give an example to specify applications of conclusions obtained above.