Robin Neumayer

activity

20142026

L^{2}

-almost constant mean curvature and an Alexandrov-type theorem for crystals

33 citations · 61 across the 17 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.AP2021★ 1 cited

Sharp quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Friedman monotonicity formula

Mark Allen, Dennis Kriventsov, Robin Neumayer

The objective of this paper is two-fold. First, we establish new sharp quantitative estimates for Faber-Krahn inequalities on simply connected space forms. We prove that the gap be…

math.AP2021

Linear Stability Implies Nonlinear Stability for Faber-Krahn Type Inequalities

Mark Allen, Dennis Kriventsov, Robin Neumayer

For a domain $Ω \subset R^{n}$ and a small number $T > 0$ , let \[ \mathcal{E}_0(Ω) = λ_1(Ω) + {\frak{T}} {\text{tor}}(Ω) = \inf_{u, w \in H^1_0(Ω)\setminus \{0\}} \fra…