A. Logunov

activity

20132026

most citedOn ratios of harmonic functions

15 citations · 47 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.AP2021

The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions

A. Logunov, E. Malinnikova, N. Nadirashvili +1

Let $Ω$ be a bounded domain in $R^{n}$ with $C^{1}$ boundary and let $u_{λ}$ be a Dirichlet Laplace eigenfunction in $Ω$ with eigenvalue $λ$ . We show that the $(n - 1)$ -dimensio…

math.AP2021★ 3 cited

An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson's log log theorem

Alexander Logunov, Hristo Papazov

Using the three balls inequality, we adapt the elegant ideas of Carleman and Domar from complex analysis to linear elliptic PDE and generalize the classical Levinson's loglog theor…