55 citations · 156 across the 20 of their papers we have counts for
21 papers
Normalized solutions of -supercritical NLS equations with periodic potentials
Zhentao He, Norihisa Ikoma, Chao Ji
In this paper, we study normalized solutions to the following -supercritical nonlinear Schrödinger equation with a periodic potential \begin{equation*} \begin{dcases} -Δu +V (…
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…
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 = g(u…
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…
Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation
Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe
This paper treats the existence of positive solutions of in . Here , is a parameter and satisfies conditions only in a…
Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model
Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1
Given a measure on a domain , we study spacelike graphs over in Minkowski space with Lorentzian mean curvature and Dirichlet boundary condition o…
On weak solutions to a fractional Hardy-Hénon equation: Part II: Existence
Shoichi Hasegawa, Norihisa Ikoma, Tatsuki Kawakami
This paper and [29] treat the existence and nonexistence of stable weak solutions to a fractional Hardy--Hénon equation in , where $…
The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials
Norihisa Ikoma, Yasuhito Miyamoto
In this paper, we consider the following minimizing problem with two constraints: \[ \inf \left\{ E(u) | u=(u_1,u_2), \ \| u_1 \|_{L^2}^2 = α_1, \ \| u_2 \|_{L^2}^2 = α_2 \right\},…
On weak solutions to a fractional Hardy--Hénon equation: Part I: Nonexistence
Shoichi Hasegawa, Norihisa Ikoma, Tatsuki Kawakami
This paper and [17] treat the existence and nonexistence of stable (resp. outside stable) weak solutions to a fractional Hardy--Hénon equation in…
Multiplicity of radial and nonradial solutions to equations with fractional operators
Norihisa Ikoma
In this paper, we study the existence of radial and nonradial solutions to the scalar field equations with fractional operators. For radial solutions, we prove the existence of inf…
A note on deformation argument for constraint problem
Norihisa Ikoma, Kazunaga Tanaka
We study the existence of normalized solutions for nonlinear Schrödinger equations and systems. Under new Palais-Smale type conditions we develop new deformation arguments fo…
Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
Let be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if is a non-degenerate critical point of the scalar curvature, then a neighbo…
Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies
Takafumi Akahori, Slim Ibrahim, Norihisa Ikoma +2
The study of the uniqueness and nondegeneracy of ground state solutions to semilinear elliptic equations is of great importance because of the resulting energy landscape and its im…
Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints
Norihisa Ikoma, Michinori Ishiwata, Hidemitsu Wadade
In this paper, we study the existence and non-existence of maximizers for the Moser-Trudinger type inequalities in of the form \[ D_{N,α}(a,b):= \sup_{u\in W^{1,N}(\Bbb…
Existence and nonexistence of positive solutions to some fully nonlinear equation in one dimension
Patricio Felmer, Norihisa Ikoma
In this paper, we consider the existence (and nonexistence) of solutions to \[ -\mathcal{M}_{λ,Λ}^\pm (u'') + V(x) u = f(u) \quad {\rm in} \ \mathbf{R} \] where $\mathcal{M}_{λ,Λ}^…
Existence of solutions of scalar field equations with fractional operator
Norihisa Ikoma
In this paper, the existence of least energy solution and infinitely many solutions is proved for the equation in where , and $f(…
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds II: Morse Theory
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
This is the second of a series of two papers where we construct embedded Willmore tori with small area constraint in Riemannian three-manifolds. In both papers the construction rel…
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: Minimization
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
We construct embedded Willmore tori with small area constraint in Riemannian three-manifolds under some curvature condition used to prevent Möbius degeneration. The construction re…