A Reilly inequality for some natural elliptic operators on hypersurfaces

Jean-François Grosjean

Type: Article

Publication Date: 2000-11-01

Citations: 13

DOI: https://doi.org/10.1016/s0926-2245(00)00024-3

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Locations

Differential Geometry and its Applications - View

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Works That Cite This (13)

Action	Title	Year	Authors
+	Extrinsic eigenvalue estimates of Dirac operators on Riemannian manifolds	2011	Guangyue Huang Li Chen Xiaomei Sun
+	Eigenvalue estimates for some natural elliptic operators on hypersurfaces	2016	Jianghai Shi
+	Sharp Reilly-type inequalities for submanifolds in space forms	2018	Hang Chen Xianfeng Wang
+	Sharp Reilly-type inequalities for a class of elliptic operators on submanifolds	2019	Hang Chen Xianfeng Wang
+	Estimates for eigenvalues of ℒr operator on self-shrinkers	2017	Guangyue Huang Xuerong Qi Hongjuan Li
+ PDF Chat	On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms	2004	Luis J. Alı́as J. Miguel Malacarne
+ PDF Chat	Upper bounds for the first eigenvalue of the Laplacian on compact submanifolds	2002	Jean-François Grosjean
+	Reilly type inequality for the first eigenvalue of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mo>;</mml:mo><mml:mi>F</mml:mi></mml:mrow></mml:msub></mml:math>operator	2013	Yijun He
+	Sharp Upper Bounds for λ Lr 1 of Immersed Hypersurfaces and Their Stability in Space Forms	2008	English Series Ru Shan Wang
+	Estimates for eigenvalues of the operator L	2021	Guangyue Huang Xuerong Qi

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+ PDF Chat	Sphere theorems via Alexandrov for constant Weingarten curvature hypersurfaces. Appendix to a note of A. Ros	1988	Nicholas J. Korevaar
+	Nonlinear Analysis on Manifolds. Monge-Ampère Equations	1982	Thierry Aubin
+ PDF Chat	Variational properties of functions of the mean curvatures for hypersurfaces in space forms	1973	Robert C. Reilly
+	On the first eigenvalue of the linearized operator of ther-th mean curvature of a hypersurface	1993	Hilário Alencar Manfredo do Carmo Harold Rosenberg
+	Majoration de la seconde valeur propre d'un opérateur de Schrödinger sur une variété compacte et applications	1992	Ahmad El Soufi Saïd Ilias
+ PDF Chat	Extrinsic upper bounds for ?1	1988	Ernst Heintze
+	Variation of curvature integrals	1991	K. Voss
+	Une inégalité du type “Reilly” pour les sous-variétés de l'espace hyperbolique	1992	A. Soufi Saïd Ilias
+	Stability of Hypersurfaces of Constant Mean Curvature in Riemannian Manifolds	2012	J. Lucas M. Barbosa Manfredo do Carmo J.-H. Eschenburg
+	Stability of Hypersurfaces with Constant Mean Curvature	2012	J. Lucas M. Barbosa Manfredo do Carmo