REILLY-TYPE UPPER BOUNDS FOR THE p-STEKLOV PROBLEM ON SUBMANIFOLDS

2023/02/28 by JULIEN ROTH, Julien Roth, ABHITOSH UPADHYAY +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows

paper · doi:10.1017/s0004972723000096

Abstract

Abstract We prove Reilly-type upper bounds for the first nonzero eigenvalue of the Steklov problem associated with the p -Laplace operator on submanifolds of manifolds with sectional curvature bounded from above by a nonnegative constant.

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• Reilly inequality for Varifolds

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