103 citations · 184 across the 37 of their papers we have counts for
4 papers · 2 filters
Ground state solutions to the nonlinear Born-Infeld problem
Bartosz Bieganowski, Norihisa Ikoma, Jarosław Mederski
In the paper we show the existence of ground state solutions to the nonlinear Born-Infeld problem \[ \mathrm{div}\, \left( \frac{\nabla u}{\sqrt{1-|\nabla u|^2}} \right) + f(u) = 0…
A Lichnerowicz equation in the Einstein-scalar field theory on non-CMC closed manifolds
Bartosz Bieganowski, Pietro d'Avenia, Jacopo Schino +1
In the paper, we prove the existence of a positive and essentially bounded solution to a Lichnerowicz equation in the Einstein-scalar field theory on a closed manifold with non-con…
Nonlinear scalar field equations with a critical Hardy potential
Bartosz Bieganowski, Daniel Strzelecki
We study the existence of solutions for the nonlinear scalar field equation $$-Δu - \frac{(N-2)^2}{4|x|^2} u = g(u), \quad \mbox{in } \mathbb{R}^N \setminus \{0\},$$ where the pote…
Note on elliptic equations on closed manifolds with singular nonlinearities
Bartosz Bieganowski, Adam Konysz
We consider a general elliptic equation on a closed Riemannian manifold and utilize a recent variational approach by Hebey, Pacard, Pol…