70 citations · 486 across the 82 of their papers we have counts for
5 papers · 1 filter
On conformal metrics of constant positive curvature in the plane
Walter Bergweiler, Alexandre Eremenko, James Langley
We prove three theorems about solutions of in the plane. The first two describe explicitly all concave and quasiconcave solutions. The third theorem says that the…
Rigidity results on Liouville equation
Alexandre Eremenko, Changfeng Gui, Qinfeng Li +1
We give a complete classification of solutions bounded from above of the Liouville equation $$-Δu=e^{2u}\quad\mbox{in}\quad {\mathbf{R}}^2.$$ More generally, solutions in the class…
Electrostatic skeletons
Alexandre Eremenko, Erik Lundberg, Koushik Ramachandran
Let u be the equilibrium potential of a compact set K. An electrostatic skeleton of K is a positive measure whose closed support has connected complement and no interior, and whose…
Spectra of the Gurtin-Pipkin type equations
A. Eremenko, S. Ivanov
We study the spectra of certain integro-differential equations arising in applications. Under some conditions on the kernel of the integral operator, we describe the non-real part…
A Toda lattice in dimension 2 and Nevanlinna theory
Alexandre Eremenko
It is shown how to study the 2-D Toda system for SU(n+1) using Nevanlinna theory of meromorphic functions and holomorphic curves. The results generalize recent results of Jost - Wa…