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 2025 · math.APShow all

3 papers · 2 filters

math.AP2025

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…

math.AP2025

Optimizers in Sobolev-curl inequalities

Jarosław Mederski, Andrzej Szulkin

We study a Sobolev-type inequality involving the $p$ -curl operator in $R^{3}$ . We prove the existence of a minimizer $u : R^{3} \to R^{3}$ which yields a solution…

math.AP2025

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 $(- Δ)^{m} u = g (u)$ , assuming that $g$ has a general subcritical g…