103 citations · 301 across the 31 of their papers we have counts for
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Nonlinear time-harmonic Maxwell equations in domains
Thomas Bartsch, Jarosław Mederski
The search for time-harmonic solutions of nonlinear Maxwell equations in the absence of charges and currents leads to the elliptic equation $$\nabla\times\left(μ(x)^{-1} \nabla\tim…
The Brezis-Nirenberg problem for the curl-curl operator
Jarosław Mederski
We look for solutions of the problem $$ \left\{ \begin{aligned} &\nabla\times(\nabla\times E) +λE = |E|^{p-2}E &&\quad \text{in }Ω&ν\times E = 0 &&\quad \text{…
Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
Pietro d'Avenia, Jarosław Mederski, Alessio Pomponio
We look for three dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations. We prove the existen…
Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities
Bartosz Bieganowski, Jarosław Mederski
We look for ground state solutions to the following nonlinear Schrödinger equation where $V=V_{per}+V_{loc}\in L^{\i…