Hiroaki Kikuchi

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All published works

Action	Title	Year	Authors
+ PDF Chat	Spinons in a new Shastry-Sutherland lattice magnet Pr$_2$Ga$_2$BeO$_7$	2024	Nan Li A. Brassington M. F. Shu Y. Y. Wang Hengrui Liang Q. J. Li Xinxin Zhao Peter J. Baker Hiroaki Kikuchi Takatsugu Masuda
+	Pitchfork Bifurcation at Line Solitons for Nonlinear Schrödinger Equations on the Product Space $${\mathbb {R}}\times {\mathbb {T}}$$	2023	Takafumi Akahori Yakine Bahri Slim Ibrahim Hiroaki Kikuchi
+ PDF Chat	Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrödinger equation at low frequencies	2023	Masaru Hamano Hiroaki Kikuchi Minami Watanabe
+	Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations	2022	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrodinger equation at low frequencies	2022	Masaru Hamano Hiroaki Kikuchi Minami Watanabe
+	Castell: Scalable Joint Probability Estimation of Multi-dimensional Data Randomized with Local Differential Privacy	2022	Hiroaki Kikuchi
+ PDF Chat	Non-existence of ground states and gap of variational problems for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent in three space dimensions	2021	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies	2021	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Construction of a bifurcation branch from line solitons for nonlinear Schr\"{o}dinger equations on product space $\mathbb{R} \times \mathbb{T}$	2021	Takafumi Akahori Yakine Bahri Slim Ibrahim Hiroaki Kikuchi
+ PDF Chat	Transverse Stability of Line Soliton and Characterization of Ground State for Wave Guide Schrödinger Equations	2021	Yakine Bahri Slim Ibrahim Hiroaki Kikuchi
+	Transverse stability of line soliton and characterization of ground state for wave guide Schrödinger equations	2021	Yakine Bahri Slim Ibrahim Hiroaki Kikuchi
+	Non-existence of ground states and gap of variational problems for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent in three space dimensions	2021	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Pitchfork bifurcation at line solitons for nonlinear Schrödinger equations on the product space $\mathbb{R} \times \mathbb{T}$	2021	Takafumi Akahori Yakine Bahri Slim Ibrahim Hiroaki Kikuchi
+	Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents	2020	Hiroaki Kikuchi Minami Watanabe
+ PDF Chat	Remarks on solitary waves and Cauchy problem for Half-wave-Schrödinger equations	2020	Yakine Bahri Slim Ibrahim Hiroaki Kikuchi
+ PDF Chat	Non-uniqueness for an energy-critical heat equation on $${\mathbb {R}}^2$$	2020	Slim Ibrahim Hiroaki Kikuchi Kenji Nakanishi Juncheng Wei
+ PDF Chat	Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies	2019	Takafumi Akahori Slim Ibrahim Norihisa Ikoma Hiroaki Kikuchi Hayato Nawa
+ PDF Chat	Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter	2019	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi
+	Existence of standing waves for the nonlinear Schrödinger equation with double power nonlinearity and harmonic potential	2019	Hiroaki Kikuchi
+	Non-uniqueness for an energy-critical heat equation on $\mathbb{R}^2$	2019	Slim Ibrahim Hiroaki Kikuchi Kenji Nakanishi Juncheng Wei
+	Remarks on scattering problem for a class of nonlinear Schrödinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations)	2018	Hiroaki Kikuchi
+ PDF Chat	Virial functional and dynamics for nonlinear Schrödinger equations of local interactions	2018	Takafumi Akahori Hiroaki Kikuchi Takeshi Yamada
+	Remarks on solitary waves and Cauchy problem for a Half-wave-Schrödinger equations	2018	Yakine Bahri Slim Ibrahim Hiroaki Kikuchi
+	Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter	2018	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi
+	A bifurcation diagram of solutions to an elliptic equation with exponential nonlinearity in higher dimensions	2017	Hiroaki Kikuchi Juncheng Wei
+	Corrigendum: Stationary problem related to the nonlinear Schrödinger equation on the unit ball (2012 <i>Nonlinearity</i> <b>25</b> 2271–301)	2015	Reika Fukuizumi Fouad Hadj‐Selem Hiroaki Kikuchi
+	Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies	2015	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Existence and uniqueness of singular solution to stationary Schrödinger equation with supercritical nonlinearity	2013	Fouad Hadj‐Selem Hiroaki Kikuchi Juncheng Wei
+ PDF Chat	Scattering and blowup problems for a class of nonlinear Schrödinger equations	2012	Takafumi Akahori Hiroaki Kikuchi Hayato Nawa
+	Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth	2012	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Stationary problem related to the nonlinear Schrödinger equation on the unit ball	2012	Reika Fukuizumi Fouad Hadj‐Selem Hiroaki Kikuchi
+ PDF Chat	Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth	2012	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities	2011	Fouad Hadj‐Selem Hiroaki Kikuchi
+	Orbital stability of semitrivial standing waves for the Klein–Gordon–Schrödinger system	2011	Hiroaki Kikuchi
+	Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth	2011	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth	2011	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa
+	Stable standing waves for the two-dimensional Klein–Gordon–Schrödinger system	2010	Hiroaki Kikuchi
+	Remarks on the orbital instability of standing waves for the wave-Schrödinger system in higher dimensions	2010	Hiroaki Kikuchi
+	Stability of standing waves for the Klein–Gordon–Schrödinger system	2009	Hiroaki Kikuchi Masahito Ohta
+	A note on the existence of standing waves for one-dimensional wave-Schrödinger system	2009	Hiroaki Kikuchi
+ PDF Chat	Instability of standing waves for the Klein-Gordon-Schrödinger system	2008	Hiroaki Kikuchi Masahito Ohta
+ PDF Chat	Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation	2007	Hiroaki Kikuchi
+	On the existence of a solution for elliptic system related to the Maxwell–Schrödinger equations	2006	Hiroaki Kikuchi

Common Coauthors

Coauthor	Papers Together
Slim Ibrahim	21
Takafumi Akahori	17
Hayato Nawa	11
Yakine Bahri	7
Juncheng Wei	4
Fouad Hadj‐Selem	4
Minami Watanabe	3
Kenji Nakanishi	2
Reika Fukuizumi	2
Masaru Hamano	2
Masahito Ohta	2
Q. J. Li	1
Wenfang Xie	1
Nan Li	1
X. F. Sun	1
Huiyuan Wang	1
Xinxin Zhao	1
Takeshi Yamada	1
M. F. Shu	1
Changxu Liu	1
R. Yu	1
Haidong Zhou	1
Guangcai Duan	1
Peter J. Baker	1
Takatsugu Masuda	1
Hengrui Liang	1
Ran Zhong	1
Jun Ma	1
A. Brassington	1
Norihisa Ikoma	1
Y. Y. Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb	12
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	11
+	Nonlinear scalar field equations, I existence of a ground state	1983	Henri Berestycki P. L. Lions	11
+	Stability theory of solitary waves in the presence of symmetry, II	1990	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	10
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case	2006	Carlos E. Kenig Frank Merle	10
+ PDF Chat	Instability of nonlinear bound states	1985	Jalal Shatah Walter A. Strauss	10
+	Symmetry of positive solutions of nonlinear elliptic equations in R^n	1981	Basilis Gidas	9
+	A Relation Between Pointwise Convergence of Functions and Convergence of Functionals	1983	Haı̈m Brezis Élliott H. Lieb	9
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	9
+	Orbital stability of standing waves for some nonlinear Schr�dinger equations	1982	Thierry Cazenave Pierre‐Louis Lions	8
+	Stability theory of solitary waves in the presence of symmetry, I	1987	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	7
+	Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth	2011	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa	7
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	7
+	Stability of energy-critical nonlinear Schrödinger equations in high dimensions	2005	Terence Tao Monica Vişan	6
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	6
+	Blowup and scattering problems for the nonlinear Schrödinger equations	2013	Takafumi Akahori Hayato Nawa	6
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	6
+ PDF Chat	Spectra of Linearized Operators for NLS Solitary Waves	2007	Shu-Ming Chang Stephen J. Gustafson Kenji Nakanishi Tai‐Peng Tsai	6
+	Modulational Stability of Ground States of Nonlinear Schrödinger Equations	1985	Michael I. Weinstein	6
+ PDF Chat	Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on $${\mathbb{R}^3}$$ R 3	2017	Rowan Killip Tadahiro Oh Oana Pocovnicu Monica Vişan	5
+	Linearized instability for nonlinear schrödinger and klein‐gordon equations	1988	Manoussos G. Grillakis	5
+ PDF Chat	Global dynamics above the ground state energy for the cubic NLS equation in 3D	2011	Kenji Nakanishi Wilhelm Schlag	5
+	Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth	2012	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa	5
+ PDF Chat	Nonlinear scalar field equations	1992	W. Rother	5
+ PDF Chat	A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations	2008	Stefan Le Coz	5
+	Scattering for the non-radial 3D cubic nonlinear Schrödinger equation	2008	Thomas Duyckaerts Justin Holmer Svetlana Roudenko	5
+	Global dynamics above the ground state energy for the focusing nonlinear Klein–Gordon equation	2010	Kouichiro Nakanishi Wilhelm Schlag	5
+	Dispersive Equations and Nonlinear Waves	2014	Herbert Koch Daniel Tataru Monica Vişan	4
+	The critical case for a Berestycki-Lions theorem	2013	Jian Zhang Wenming Zou	4
+	Unbounded Sobolev trajectories and modified scattering theory for a wave guide nonlinear Schrödinger equation	2016	Haiyan Xu	4
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe	4
+ PDF Chat	Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations	2012	Vladimir Georgiev Masahito Ohta	4
+ PDF Chat	A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation	2008	Justin Holmer Svetlana Roudenko	4
+	Bifurcation from simple eigenvalues	1971	Michael G. Crandall Paul H. Rabinowitz	4
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong	4
+	Uniqueness of positive radial solutions of semilinear elliptic equations in R<sup>N</sup>and séré's non—degeneracy condition	1999	Yoshitsugu Kabeya Kazunaga Tanaka	4
+ PDF Chat	Uniqueness of ground states for quasilinear elliptic operators	1998	Patrizia Pucci James Serrin	4
+ PDF Chat	The Dynamics of the 3D Radial NLS with the Combined Terms	2013	Changxing Miao Guixiang Xu Lifeng Zhao	4
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	4
+	Positive solutions of elliptic equations involving supercritical growth	1991	Franck Merle L. A. Peletier	4
+	Locating the peaks of least-energy solutions to a semilinear Neumann problem	1993	Wei-Ming Ni Izumi Takagi	4
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	4
+ PDF Chat	Global solution branch and Morse index estimates of a semilinear elliptic equation with super-critical exponent	2011	Zongming Guo Juncheng Wei	3
+ PDF Chat	The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities	2007	Terence Tao Monica Vişan Xiaoyi Zhang	3
+ PDF Chat	Scattering and blowup problems for a class of nonlinear Schrödinger equations	2012	Takafumi Akahori Hiroaki Kikuchi Hayato Nawa	3
+	Transverse instability for a system of nonlinear Schrödinger equations	2014	Yohei Yamazaki	3
+	Solitary Waves and Dynamics for Subcritical Perturbations of Energy Critical NLS	2017	Matt Coles Stephen J. Gustafson	3
+	Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth	1989	Luis Caffarelli Basilis Gidas Joel Spruck	3
+	The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher	2010	Rowan Killip Monica Vişan	3
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	3