collaborators

6 papers

math.AP2025

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…

math.AP2025

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…

math.AP2025

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}…

math.AP2025

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…

math.AP2025

Normalized solutions for nonlinear Schrödinger equations with -critical nonlinearity

Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1

We study the following nonlinear Schrödinger equation and we look for normalized solutions for a given and \[ -Δu + μu =…

math.AP2024

Compactness via monotonicity in nonsmooth critical point theory, with application to Born-Infeld type equations

Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1

In this paper, we prove new existence and multiplicity results for critical points of lower semicontinuous functionals in Banach spaces, complementing the nonsmooth critical point…