8 citations · 16 across the 15 of their papers we have counts for
28 papers
Ground state solutions to Born-Infeld-Choquard problem
Jarosław Mederski, Xiangjian Zeng
In this paper, we investigate the existence and qualitative properties of ground state solutions for the nonlocal Born-Infeld-Choquard problem \begin{equation*} \begin{cases} -{\rm…
Ground state solutions to the nonlinear Born-Infeld problem
Bartosz Bieganowski, Norihisa Ikoma, Jarosław Mederski
In the paper we show the existence of ground state solutions to the nonlinear Born-Infeld problem \[ \mathrm{div}\, \left( \frac{\nabla u}{\sqrt{1-|\nabla u|^2}} \right) + f(u) = 0…
Optimizers in Sobolev-curl inequalities
Jarosław Mederski, Andrzej Szulkin
We study a Sobolev-type inequality involving the -curl operator in . We prove the existence of a minimizer which yields a solution to the -curl-curl equation in…
Polyharmonic Nonlinear Scalar Field Equations
Alessandro Cannone, Silvia Cingolani, Jarosław Mederski
In this paper, we present a result on the existence of ground state solutions for the polyharmonic nonlinear equation , assuming that has a general subcritical g…
Traveling waves for nonlinear Schrödinger equations
Laura Baldelli, Bartosz Bieganowski, Jarosław Mederski
We look for traveling wave solutions to the nonlinear Schrödinger equation with a subsonic speed, covering several physical models with Sobolev subcritical nonlinear effects. Our a…
Travelling waves for Maxwell's equations in nonlinear and symmetric media
Jarosław Mederski, Jacopo Schino
We look for travelling wave fields satisfying Maxwell's equations…