Extrinsic upper bound for the first eigenvalue of elliptic operators

DOI10.14492/hokmj/1285766168zbMath1085.58024OpenAlexW2041735466MaRDI QIDQ1772567

Jean-François Grosjean

Publication date: 18 April 2005

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1285766168

zbMATH Keywords

eigenvalue estimate\(r\)-th mean curvatureReilly's inequality

Mathematics Subject Classification ID

Related Items (14)

REILLY INEQUALITIES OF ELLIPTIC OPERATORS ON CLOSED SUBMANIFOLDS ⋮ Eigenvalue estimates of Reilly type in product manifolds and eigenvalue comparison for strip domains ⋮ Optimal upper estimates for the first eigenvalue of a Jacobi type operator in spherical and hyperbolical spaces ⋮ Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds ⋮ REILLY-TYPE UPPER BOUNDS FOR THE p-STEKLOV PROBLEM ON SUBMANIFOLDS ⋮ Reilly-type inequalities for the first eigenvalue of \(p\)-Laplacian of submanifolds in Minkowski spaces ⋮ Extrinsic radius pinching in space forms of nonnegative sectional curvature ⋮ Sharp upper bounds for \(\lambda _1^{L_r}\) of immersed hypersurfaces and their stability in space forms ⋮ Extrinsic upper bound of the eigenvalue for \(p\)-Laplacian ⋮ A Reilly inequality for the first non-zero eigenvalue of a class of operators on Riemannian manifold ⋮ Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space ⋮ A Reilly inequality for the first Steklov eigenvalue ⋮ Lower volume growth and total \(\sigma_k\)-scalar curvature estimates ⋮ Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds

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