N. Nadirashvili

activity

19942020

most citedAll electro--vacuum Majumdar--Papapetrou space--times with nonsingular black holes

44 citations · 69 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2020★ 14 cited

The Landis conjecture on exponential decay

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

Consider a solution $u$ to $Δ u + V u = 0$ on $R^{2}$ , where $V$ is real-valued, measurable and $∣ V ∣ \leq 1$ . If $∣ u (x) ∣ \leq exp (- C ∣ x ∣ lo g^{1/2} ∣ x ∣)$ , $∣ x ∣ > 2$ , where $C$ is a…

math.SP2005★ 11 cited

How large can the first eigenvalue be on a surface of genus two?

D. Jakobson, M. Levitin, N. Nadirashvili +2

Sharp upper bounds for the first eigenvalue of the Laplacian on a surface of a fixed area are known only in genera zero and one. We investigate the genus two case and conjecture th…

math.AP1998

Bounds on the multiplicity of eigenvalues for fixed membranes

Thomas Hoffman-Ostenhof, Peter W. Michor, Nikolai Nadirashvili

For a membrane in the plane the multiplicity of the $k$ -th eigenvalue is known to be not greater than $2 k - 1$ . Here we prove that it is actually not greater than $2 k - 3$ , for $k\ge 3…

gr-qc1994★ 44 cited

All electro--vacuum Majumdar--Papapetrou space--times with nonsingular black holes

Piotr T. Chrusciel, Nikolai S. Nadirashvili

We show that all Majumdar--Papapetrou electrovacuum space--times with a non--empty black hole region and with a non--singular domain of outer communications are the standard Majumd…