Jarosław Mederski

activity

20132026

most citedNormalized ground states of the nonlinear Schrödinger equation with at least mass critical growth

103 citations · 301 across the 31 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.AP2024

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…

math.AP2024

Travelling waves for Maxwell's equations in nonlinear and symmetric media

Jarosław Mederski, Jacopo Schino

We look for travelling wave fields $E (x, y, z, t) = U (x, y) cos (k z + ω t) + U (x, y) sin (k z + ω t), (x, y, z) \in R^{3}, t \in R,$ satisfying Maxwell's equations…

math.AP2024

Multiple normalized solutions to a system of nonlinear Schrödinger equations

Jarosław Mederski, Andrzej Szulkin

We find a normalized solution $u = (u_{1}, \dots, u_{K})$ to the system of $K$ coupled nonlinear Schrödinger equations \begin{equation*} \left\{ \begin{array}{l} -Δu_i+ λ_i u_i = \sum_{j=…

math.AP2024

Between Maxwell and Born-Infeld: the presence of the magnetic field

Pietro d'Avenia, Jarosław Mederski

Our motivation is to consider an electromagnetic Lagrangian density $L_{q}$ , depending on a parameter such that, for $q = 1$ it corresponds to the Born-Infeld Lagrangian dens…