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What is Reilly Inequality for Varifolds Explained about?

This paper generalizes the Reilly inequality for the first eigenvalue of the Laplacian to the context of varifolds, specifically for H(2) varifolds and polygons. The authors establish new inequalities and analyze the equality cases, showing that certain polygon types also satisfy the Reilly inequality. Additionally, the work extends to star-shaped graphs, further broadening the application of the Reilly inequality.

Author

Enzo Ric

Language

EN