Performance information

• A shooting approach for some semilinear scalar field equation with a Dirac-like potential in one-dimension　　　　　　　　　　　　　　　
  Yohei Sato
  Nonlinear Analysis: Real World Applications, Volume：84, First page：104297, Last page：104297, Aug. 2025, [Reviewed]
  Elsevier BV, English, Scientific journal
  DOI：https://doi.org/10.1016/j.nonrwa.2024.104297
  DOI ID：10.1016/j.nonrwa.2024.104297, ISSN：1468-1218
• A construction of peak solutions by a local mountain pass approach for a nonlinear Schrödinger system with three wave interaction
  Yuki Osada; Yohei Sato
  Partial Differential Equations and Applications, Volume：6, Number：1, Feb. 2025, [Reviewed]
  Springer Science and Business Media LLC, English, Scientific journal
  DOI：https://doi.org/10.1007/s42985-025-00312-7
  DOI ID：10.1007/s42985-025-00312-7, ISSN：2662-2963, eISSN：2662-2971
• Symmetric Nonradial Solutions for Nonlinear Schrödinger Systems with Mixed Couplings on \(\mathbb R \)\(^{\boldsymbol n}\)　　　　　　　　　　　　　　　
  Yohei Sato; Zhi-Qiang Wang; Jiankang Xia
  SIAM Journal on Mathematical Analysis, Volume：57, Number：1, First page：306, Last page：335, Jan. 2025, [Reviewed]
  Society for Industrial & Applied Mathematics (SIAM), English, Scientific journal
  DOI：https://doi.org/10.1137/23m1613785
  DOI ID：10.1137/23m1613785, ISSN：0036-1410, eISSN：1095-7154
• Multi-peak Solutions of a Class of Fractional p-Laplacian Equations
  Xiaojun Chang; Yohei Sato; Chengxiang Zhang
  The Journal of Geometric Analysis, Volume：34, Number：1, Nov. 2023, [Reviewed]
  Springer Science and Business Media LLC, English, Scientific journal
  DOI：https://doi.org/10.1007/s12220-023-01475-8
  DOI ID：10.1007/s12220-023-01475-8, ISSN：1050-6926, eISSN：1559-002X
• Even ground state for nonlinear Schrödinger systems with repulsive interaction　　　　　　　　　　　　　　　
  Yohei Sato
  Nonlinear Analysis, Volume：234, First page：113302, Last page：113302, Sep. 2023, [Reviewed]
  Elsevier BV, English, Scientific journal
  DOI：https://doi.org/10.1016/j.na.2023.113302
  DOI ID：10.1016/j.na.2023.113302, ISSN：0362-546X
• Sign-changing solutions for coupled Schrödinger equations with mixed coupling
  Yohei Sato; Zhi-Qiang Wang
  Topological Methods in Nonlinear Analysis, First page：1, Last page：1, Dec. 2020, [Reviewed]
  Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, English, Scientific journal
  DOI：https://doi.org/10.12775/tmna.2020.016
  DOI ID：10.12775/tmna.2020.016, ISSN：1230-3429
• Multiplicity of localized solutions of nonlinear Schrödinger systems for infinite attractive case　　　　　　　　　　　　　　　
  Xiaojun Chang; Yohei Sato
  Journal of Mathematical Analysis and Applications, Volume：491, Number：2, First page：124358, Last page：124358, Nov. 2020, [Reviewed]
  Elsevier BV, English, Scientific journal
  DOI：https://doi.org/10.1016/j.jmaa.2020.124358
  DOI ID：10.1016/j.jmaa.2020.124358, ISSN：0022-247X
• Nonlinear scalar field equations with Berestycki–Lions’ nonlinearity on large domains
  Yohei Sato; Masataka Shibata
  Journal of Elliptic and Parabolic Equations, Volume：6, Number：2, First page：711, Last page：731, Jun. 2020, [Reviewed]
  Springer Science and Business Media LLC, English, Scientific journal
  DOI：https://doi.org/10.1007/s41808-020-00079-5
  DOI ID：10.1007/s41808-020-00079-5, ISSN：2296-9020, eISSN：2296-9039
• Localized solutions of nonlinear Schrödinger systems with critical frequency for infinite attractive case
  Xiaojun Chang; Yohei Sato
  Nonlinear Differential Equations and Applications NoDEA, Volume：26, Number：5, Aug. 2019, [Reviewed]
  Springer Science and Business Media LLC, English, Scientific journal
  DOI：https://doi.org/10.1007/s00030-019-0578-2
  DOI ID：10.1007/s00030-019-0578-2, ISSN：1021-9722, eISSN：1420-9004
• The existence and non-existence of solutions for the nonlinear Schrödinger equation in one dimension　　　　　　　　　　　　　　　
  Yohei Sato
  Nonlinear Analysis: Real World Applications, Volume：43, First page：477, Last page：494, Oct. 2018, [Reviewed]
  Elsevier BV, English, Scientific journal
  DOI：https://doi.org/10.1016/j.nonrwa.2018.03.013
  DOI ID：10.1016/j.nonrwa.2018.03.013, ISSN：1468-1218
• Infinitely many solutions for a nonlinear Schrödinger equation with general nonlinearity
  Yohei Sato; Masataka Shibata
  Calculus of Variations and Partial Differential Equations, Volume：57, Number：5, Aug. 2018, [Reviewed]
  Springer Science and Business Media LLC, English, Scientific journal
  DOI：https://doi.org/10.1007/s00526-018-1413-z
  DOI ID：10.1007/s00526-018-1413-z, ISSN：0944-2669, eISSN：1432-0835
• Pattern formation via mixed interactions for coupled Schrödinger equations under Neumann boundary condition
  Jaeyoung Byeon; Yohei Sato; Zhi-Qiang Wang
  Journal of Fixed Point Theory and Applications, Volume：19, Number：1, First page：559, Last page：583, Nov. 2016, [Reviewed]
  Springer Science and Business Media LLC, English, Scientific journal
  DOI：https://doi.org/10.1007/s11784-016-0365-1
  DOI ID：10.1007/s11784-016-0365-1, ISSN：1661-7738, eISSN：1661-7746
• Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems　　　　　　　　　　　　　　　
  Jaeyoung Byeon; Yohei Sato; Zhi-Qiang Wang
  Journal de Mathématiques Pures et Appliquées, Volume：106, Number：3, First page：477, Last page：511, Sep. 2016, [Reviewed]
  Elsevier BV, English, Scientific journal
  DOI：https://doi.org/10.1016/j.matpur.2016.03.001
  DOI ID：10.1016/j.matpur.2016.03.001, ISSN：0021-7824
• Multiple positive solutions for Schrödinger systems with mixed couplings　　　　　　　　　　　　　　　
  Yohei Sato; Zhi-Qiang Wang
  Calculus of Variations and Partial Differential Equations, Volume：54, Number：2, First page：1373, Last page：1392, Oct. 2015, [Reviewed]
  Springer New York LLC, English, Scientific journal
  DOI：https://doi.org/10.1007/s00526-015-0828-z
  DOI ID：10.1007/s00526-015-0828-z, ISSN：0944-2669, SCOPUS ID：84941944267
• Least Energy Solutions for Nonlinear Schrödinger Systems with Mixed Attractive and Repulsive Couplings
  Yohei Sato; Zhi-Qiang Wang
  Advanced Nonlinear Studies, Volume：15, Number：1, First page：1, Last page：22, Feb. 2015, [Reviewed]
  Abstract
  
  In this paper we study the ground state solutions for a nonlinear elliptic system of three equations which comes from models in Bose-Einstein condensates. Comparing with existing works in the literature which have been on purely attractive or purely repulsive cases, our investigation focuses on the effect of mixed interaction of attractive and repulsive couplings. We establish the existence of least energy positive solutions and study asymptotic profile of the ground state solutions, giving indication of co-existence of synchronization and segregation. In particular we show symmetry breaking for the ground state solutions.
  Walter de Gruyter GmbH, English, Scientific journal
  DOI：https://doi.org/10.1515/ans-2015-0101
  DOI ID：10.1515/ans-2015-0101, ISSN：1536-1365, eISSN：2169-0375
• On the least energy sign-changing solutions for a nonlinear elliptic system
  Yohei Sato; Zhi-Qiang Wang
  Discrete & Continuous Dynamical Systems - A, Volume：35, Number：5, First page：2151, Last page：2164, 2015, [Reviewed]
  American Institute of Mathematical Sciences (AIMS), English, Scientific journal
  DOI：https://doi.org/10.3934/dcds.2015.35.2151
  DOI ID：10.3934/dcds.2015.35.2151, ISSN：1553-5231
• Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity
  Yohei Sato; Masataka Shibata
  Advances in Nonlinear Analysis, Volume：3, Number：S1, First page：s55, Last page：s67, May 2014, [Reviewed]
  Abstract
  
  We study the following nonlinear Schrödinger equations: - Δ u + V ( x ) u = f ( u ) in ℝ N . $- \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}.$ The purpose of this paper is to establish the existence of a positive solutionunder general conditions which are weaker than the Ambrosetti–Rabinowitz condition.
  Walter de Gruyter GmbH, English, Scientific journal
  DOI：https://doi.org/10.1515/anona-2014-0003
  DOI ID：10.1515/anona-2014-0003, ISSN：2191-9496, eISSN：2191-950X
• On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system　　　　　　　　　　　　　　　
  Yohei Sato; Zhi-Qiang Wang
  Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume：30, Number：1, First page：1, Last page：22, Feb. 2013, [Reviewed]
  The paper concerns multiplicity of vector solutions for nonlinear Schrödinger systems, in particular of semi-positive solutions. New variational techniques are developed to study the existence of this type of solutions. Asymptotic behaviors are examined in various parameter regimes including both attractive and repulsive cases.
  European Mathematical Society - EMS - Publishing House GmbH, Scientific journal
  DOI：https://doi.org/10.1016/j.anihpc.2012.05.002
  DOI ID：10.1016/j.anihpc.2012.05.002, ISSN：0294-1449, eISSN：1873-1430
• Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells
  Yohei Sato; Kazunaga Tanaka
  Transactions of the American Mathematical Society, Volume：361, Number：12, First page：6205, Last page：6253, Jul. 2009, [Reviewed]
  American Mathematical Society (AMS), English, Scientific journal
  DOI：https://doi.org/10.1090/s0002-9947-09-04565-6
  DOI ID：10.1090/s0002-9947-09-04565-6, ISSN：0002-9947
• Sign-changing multi-peak solutions for nonlinear Schrödinger equations with critical frequency
  Yohei Sato
  Communications on Pure & Applied Analysis, Volume：7, Number：4, First page：883, Last page：903, 2008, [Reviewed]
  American Institute of Mathematical Sciences (AIMS), Scientific journal
  DOI：https://doi.org/10.3934/cpaa.2008.7.883
  DOI ID：10.3934/cpaa.2008.7.883, ISSN：1553-5258
• Multi-peak positive solutions for nonlinear Schrödinger equations with critical frequency
  Yohei Sato
  Calculus of Variations and Partial Differential Equations, Volume：29, Number：3, First page：365, Last page：395, Jan. 2007, [Reviewed]
  Springer Science and Business Media LLC, Scientific journal
  DOI：https://doi.org/10.1007/s00526-006-0070-9
  DOI ID：10.1007/s00526-006-0070-9, ISSN：0944-2669, eISSN：1432-0835