Akashdeep Dey

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20192026

most citedA comparison of the Almgren-Pitts and the Allen-Cahn min-max theory

19 citations · 34 across the 6 of their papers we have counts for

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Showing 2020 · math.DGShow all

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math.DG2020

A sub-additive inequality for the volume spectrum

Akashdeep Dey

Let $(M, g)$ be a closed Riemannian manifold and ${ω_{p}}_{p = 1}^{\infty}$ be the volume spectrum of $(M, g)$ . We will show that $ω_{k + m + 1} \leq ω_{k} + ω_{m} + W$ for all $k, m \geq 0$ , where $…

math.DG2020★ 19 cited

A comparison of the Almgren-Pitts and the Allen-Cahn min-max theory

Akashdeep Dey

Min-max theory for the Allen-Cahn equation was developed by Guaraco and Gaspar-Guaraco. They showed that the Allen-Cahn widths are greater than or equal to the Almgren-Pitts widths…