103 citations · 301 across the 31 of their papers we have counts for
5 papers · 2 filters
Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media
Jarosław Mederski, Wolfgang Reichel
We look for travelling wave fields satisfying Maxwell's equations…
Born-Infeld problem with general nonlinearity
Jarosław Mederski, Alessio Pomponio
In this paper, using variational methods, we look for non-trivial solutions for the following problem $$ \begin{cases} -{\rm div}\left(a(|\nabla u|^2)\nabla u\right)=g(u), & \hbox{…
Biharmonic nonlinear scalar field equations
Jarosław Mederski, Jakub Siemianowski
We prove a Brezis-Kato-type regularity result for weak solutions to the biharmonic nonlinear equation with a Carathéodory function $…
Nonlinear curl-curl problems in
Jarosław Mederski, Jacopo Schino
We survey recent results concerning ground states and bound states to the curl-curl problem $$\nabla\times(\nabla\times u)+V(x)u= f(x,u) \quad\…
Least energy solutions to a cooperative system of Schrödinger equations with prescribed -bounds: at least -critical growth
Jarosław Mederski, Jacopo Schino
We look for least energy solutions to the cooperative systems of coupled Schrödinger equations \begin{equation*} \begin{cases} -Δu_i + λ_i u_i = \partial_iG(u)\quad \mathrm{in} \ \…