Reilly-type inequalities for p-Laplacian on submanifolds in space forms

Autor:	Guofang Wei, Hang Chen
Rok vydání:	2019
Předmět:	Combinatorics Mean curvature Applied Mathematics p-Laplacian Space form Mathematics::Spectral Theory Type (model theory) Space (mathematics) Curvature Submanifold Laplace operator Analysis Mathematics
Zdroj:	Nonlinear Analysis. 184:210-217
ISSN:	0362-546X
DOI:	10.1016/j.na.2019.02.009
Popis:	Let M be an n -dimensional closed orientable submanifold in an N -dimensional space form. When 1 p ≤ n 2 + 1 , we obtain an upper bound for the first nonzero eigenvalue of the p -Laplacian in terms of the mean curvature of M and the curvature of the space form. This generalizes the Reilly inequality for the Laplacian (Soufi and Ilias, 1992; Reilly, 1977) to the p -Laplacian and extends the work of Du and Mao (2015) for the p -Laplacian.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5375e23e728939fdb146929384b500c4 https://doi.org/10.1016/j.na.2019.02.009 Zobrazit plný text záznamu Full Text from ScienceDirect