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 2014 · math.APShow all

4 papers · 2 filters

math.AP2014★ 4 cited

Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials

Qianqiao Guo, Jarosław Mederski

We study the existence of solutions of the following nonlinear Schrödinger equation \begin{equation*} -Δu + \Big(V(x)-\fracμ{|x|^2}\Big) u = f(x,u) \hbox{ for } x\in\mathbb{R}^N\se…

math.AP2014★ 35 cited

Ground states of a system of nonlinear Schrödinger equations with periodic potentials

Jarosław Mederski

We are concerned with a system of coupled Schrödinger equations $- Δ u_{i} + V_{i} (x) u_{i} = \partial_{u_{i}} F (x, u) on R^{N}, i = 1, 2, ..., K,$ where $F$ and $V_{i}$ are periodic…

math.AP2014

Ground states of time-harmonic semilinear Maxwell equations in R^3 with vanishing permittivity

Jarosław Mederski

We investigate the existence of solutions $E : R^{3} \to R^{3}$ of the time-harmonic semilinear Maxwell equation $$\nabla\times(\nabla\times E) + V(x) E = \partial_E F(x,…

math.AP2014

Positive ground states for a system of Schrödinger equations with critically growing nonlinearities

Pietro d'Avenia, Jarosław Mederski

We study the following problem \[ \begin{cases} -Δu = λu + u^{2^*-2} v & \hbox{in} Ω,\\ -Δv= μv^{2^*-1} + u^{2^*-1} & \hbox{in} Ω,\\ u> 0,v> 0 & \hbox{in} Ω,\\ u=v=0 & \hbox{on} \p…