Reilly inequality for varifolds
Abstract
The famous Reilly inequality gives an upper bound for the first eigenvalue of the Laplacian defined on compact submanifolds of the Euclidean space in terms of the $L^2$-norm of the mean curvature vector. In this paper, we generalize this inequality in a Varifold context. In particular we generalize it for the class of $H(2)$ varifolds and for polygons and we analyse the equality case.
Fields of Study & Subjects
Mathematics and Applications
Publication details
- Journal / source
- ESAIM Control Optimisation and Calculus of Variations
- Publication date
- 6 April 2026
- Language
- EN