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Stable standing waves of nonlinear Schrödinger equations with potentials and general nonlinearities

Calculus of variations and partial differential equations, 2020-04, Vol.59 (2), Article 48

2020

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On the existence of positive solutions to a certain class of semilinear elliptic equations

SN partial differential equations and applications, 2021-04, Vol.2 (2), Article 28

Ikoma, Norihisa

2021

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Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation

Manuscripta mathematica, 2023-11, Vol.172 (3-4), p.933-970

2023

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On weak solutions to a fractional Hardy–Hénon equation, Part II: Existence

Nonlinear analysis, 2023-02, Vol.227, p.113165, Article 113165

2023

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The existence and multiplicity of L 2-normalized solutions to nonlinear Schrödinger equations with variable coefficients

Advanced nonlinear studies, 2024-04, Vol.24 (2), p.477-509

2024

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On radial solutions of inhomogeneous nonlinear scalar field equations

Journal of mathematical analysis and applications, 2012-02, Vol.386 (2), p.744-762

Ikoma, Norihisa

2012

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Existence and nonexistence of positive solutions to some fully nonlinear equation in one dimension

Journal of functional analysis, 2018-10, Vol.275 (8), p.2162-2196

2018

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Foliation by Area-constrained Willmore Spheres Near a Nondegenerate Critical Point of the Scalar Curvature

International mathematics research notices, 2020-10, Vol.2020 (19), p.6539-6568

2020

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Uniqueness of Positive Solutions for a Nonlinear Elliptic System

Nonlinear differential equations and applications, 2009-10, Vol.16 (5), p.555-567

Ikoma, Norihisa

2009

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Existence and non-existence of maximizers for the Moser–Trudinger type inequalities under inhomogeneous constraints

Mathematische annalen, 2019-02, Vol.373 (1-2), p.831-851

2019

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Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions

Indiana University mathematics journal, 2022, Vol.71 (5), p.2001-2043

2022

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A local mountain pass type result for a system of nonlinear Schrödinger equations

Calculus of variations and partial differential equations, 2011-03, Vol.40 (3-4), p.449-480

2011

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On weak solutions to a fractional Hardy–Hénon equation: Part I: Nonexistence

Communications on pure and applied analysis, 2021-04, Vol.20 (4), p.1559-1600

2021

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A note on deformation argument for $L^2$ normalized solutions of nonlinear Schrödinger equations and systems

Advances in differential equations, 2019-11, Vol.24 (11/12)

2019

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Embedded area‐constrained Willmore tori of small area in Riemannian three‐manifolds I: minimization

Proceedings of the London Mathematical Society, 2017-09, Vol.115 (3), p.502-544

2017

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EMBEDDED AREA-CONSTRAINED WILLMORE TORI OF SMALL AREA IN RIEMANNIAN THREE-MANIFOLDS, II: MORSE THEORY

American journal of mathematics, 2017-10, Vol.139 (5), p.1315-1378

2017

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Multiplicity of radial and nonradial solutions to equations with fractional operators

Communications on pure and applied analysis, 2020-07, Vol.19 (7), p.3501-3530

Ikoma, Norihisa

2020

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Compactness of Minimizing Sequences in Nonlinear Schrödinger Systems Under Multiconstraint Conditions

Advanced nonlinear studies, 2014-02, Vol.14 (1), p.115-136

Ikoma, Norihisa

2014

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The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials

Communications in contemporary mathematics, 2023-03, Vol.25 (2)

2023

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Existence of solutions of scalar field equations with fractional operator

Journal of fixed point theory and applications, 2017-03, Vol.19 (1), p.649-690

Ikoma, Norihisa

2017

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Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials

Discrete and continuous dynamical systems. Series A, 2015-03, Vol.35 (3), p.943-966

Ikoma, Norihisa

2015

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Geometric Properties for Parabolic and Elliptic PDE's

1. Aufl., 2013

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Erratum to: Existence of solutions of scalar field equations with fractional operator

Journal of fixed point theory and applications, 2017, Vol.19 (2), p.1649-1652

Ikoma, Norihisa

2017

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Uniqueness of Positive Solutions for a Nonlinear Elliptic System

Nonlinear differential equations and applications, 2009-10, Vol.16 (5)

Ikoma, Norihisa

2009

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Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies

Calculus of variations and partial differential equations, 2019-08, Vol.58 (4), p.1-32, Article 120

2019

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Stable standing waves of nonlinear Schrödinger equations with potentials and general nonlinearities

On the existence of positive solutions to a certain class of semilinear elliptic equations

Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation

On weak solutions to a fractional Hardy–Hénon equation, Part II: Existence

The existence and multiplicity of L 2-normalized solutions to nonlinear Schrödinger equations with variable coefficients

On radial solutions of inhomogeneous nonlinear scalar field equations

Existence and nonexistence of positive solutions to some fully nonlinear equation in one dimension

Foliation by Area-constrained Willmore Spheres Near a Nondegenerate Critical Point of the Scalar Curvature

Uniqueness of Positive Solutions for a Nonlinear Elliptic System

Existence and non-existence of maximizers for the Moser–Trudinger type inequalities under inhomogeneous constraints

Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions

A local mountain pass type result for a system of nonlinear Schrödinger equations

On weak solutions to a fractional Hardy–Hénon equation: Part I: Nonexistence

A note on deformation argument for $L^2$ normalized solutions of nonlinear Schrödinger equations and systems

Embedded area‐constrained Willmore tori of small area in Riemannian three‐manifolds I: minimization

EMBEDDED AREA-CONSTRAINED WILLMORE TORI OF SMALL AREA IN RIEMANNIAN THREE-MANIFOLDS, II: MORSE THEORY

Multiplicity of radial and nonradial solutions to equations with fractional operators

Compactness of Minimizing Sequences in Nonlinear Schrödinger Systems Under Multiconstraint Conditions

The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials

Existence of solutions of scalar field equations with fractional operator

Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials

Geometric Properties for Parabolic and Elliptic PDE's

Erratum to: Existence of solutions of scalar field equations with fractional operator

Uniqueness of Positive Solutions for a Nonlinear Elliptic System

Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies

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