55 citations · 156 across the 20 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…
Normalized Solutions for the -Laplacian Operator Between Mass-Critical Exponents
Laura Baldelli, Norihisa Ikoma
This paper concerns the existence of normalized solutions to a class of -Laplacian equations with a power type nonlinearity in the intermediate regime between the two mass c…
Normalized ground states for NLS equations with mass critical nonlinearities
Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1
We study normalized solutions to nonlinear Schrödinger equations $$ -Δu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}{2}\…
Existence and order of the self--binding transition in non--local non--linear Schrödinger equations
Norihisa Ikoma, Krzysztof Myśliwy
We consider a class of non--linear and non--local functionals giving rise to the Choquard equation with a suitably regular interaction potential, modelling, i.e., gases with impuri…