Accepted Paper
Inserted: 9 jul 2025
Last Updated: 7 may 2026
Journal: ESAIM: cocv (2026)
Year: 2025
Notes:
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 L2-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.
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