103 citations · 301 across the 31 of their papers we have counts for
4 papers · 2 filters
Nonlinear scalar field equation with competing nonlocal terms
Pietro d'Avenia, Jarosław Mederski, Alessio Pomponio
We find radial and nonradial solutions to the following nonlocal problem under general a…
Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials
Michał Gaczkowski, Jarosław Mederski, Jacopo Schino
We look for multiple solutions to the curl-curl problem \[ \nabla\times\nabla\times\mathbf{U}=h(x,\mathbf{U}),\qquad x\in\mathbb{R}^3,…
Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth
Bartosz Bieganowski, Jarosław Mederski
We propose a simple minimization method to show the existence of least energy solutions to the normalized problem \begin{cases} -Δu + λu = g(u) \quad \mathrm{in} \ \mathbb{R}^N, \…
A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent
Jarosław Mederski, Andrzej Szulkin
Let be a Lipschitz domain and let be the largest constant such that $$ \int_{\mathbb{R}^3}|\nabla\times u|^2\, dx\geq S_{\mathrm{curl}}…