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

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Showing 2018 · math.APShow all

2 papers · 2 filters

math.AP2018

General class of optimal Sobolev inequalities and nonlinear scalar field equations

Jarosław Mederski

We find a class of optimal Sobolev inequalities $$\Big(\int_{\mathbb{R}^N}|\nabla u|^2\, dx\Big)^{\frac{N}{N-2}}\geq C_{N,G}\int_{\mathbb{R}^N}G(u)\, dx, \quad u\in\mathcal{D}^{1,2…

math.AP2018

Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities

Bartosz Bieganowski, Jarosław Mederski

We consider the following Schrödinger equation $- ℏ^{2} Δ u + V (x) u = Γ (x) f (u) in R^{N},$ where $u \in H^{1} (R^{N})$ , $u > 0$ , $ℏ > 0$ …