32 citations · 56 across the 8 of their papers we have counts for
8 papers
Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder
Ficek Filip, Maciej Maliborski
As a first step in exploring time-periodic solutions of the Einstein equations with a negative cosmological constant, we study the cubic conformal wave equation on the Einstein cyl…
Stationary solutions of semilinear Schrödinger equations with trapping potentials in supercritical dimensions
Filip Ficek
Nonlinear Schrödinger equations are usually investigated with the use of the variational methods that are limited to energy-subcritical dimensions. Here we present the approach bas…
Nonlinear Schrödinger equations with trapping potentials in higher dimensions
Filip Ficek
From the mathematical side, nonlinear Schrödinger equations are usually investigated via variational methods, that cease to work in higher dimensions. This thesis tries to overcome…
Schrödinger-Newton-Hooke system in higher dimensions. Part I: Stationary states
Filip Ficek
The Schrödinger equation with a harmonic potential coupled to the Poisson equation, called the Schrödinger-Newton-Hooke (SNH) system, has been considered in a variety of physical c…
Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential
Piotr Bizon, Filip Ficek, Dmitry E. Pelinovsky +1
The energy super-critical Gross--Pitaevskii equation with a harmonic potential is revisited in the particular case of cubic focusing nonlinearity and dimension d > 4. In order to p…
A nonrelativistic limit for AdS perturbations
Piotr Bizon, Oleg Evnin, Filip Ficek
The familiar nonrelativistic limit converts the Klein-Gordon equation in Minkowski spacetime to the free Schroedinger equation, and the Einstein-massive-scala…
Bondi-type accretion in the Reissner-Nordström-(anti-)de Sitter spacetime
Filip Ficek
In this paper I study stationary, spherically symmetric accretion of fluids onto a charged black hole in the presence of the cosmological constant. For some isothermal equations of…
Evolutionary tracks of millisecond pulsars with low-mass companions
Filip Ficek, Mieszko Rutkowski, Włodek Kluźniak
We consider the evolution of millisecond radio pulsars in binary systems with a main-sequence or evolved stellar companion. Evolution of non-accreting binary systems with "eclipsin…