Publications

Publications

Peer reviewed papers

1. (with N. Ikoma and T. Watanabe) Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation,
   to appear in Manuscr. Math.
2. (with T. Watanabe) G-invariant positive solutions for a class of locally superlinear Schrödinger equations,
   J. Math. Anal. Appl. 507 (2022), No.1, Art.125765, 20pp.
3. (with M. Shibata and T. Watanabe) Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with $H^1$-critical growth in $\mathbb{R}^3$,
   Appl. Anal. 101 (2022), No.2, 671–691.
4. (with M. Shibata and T. Watanabe) Asymptotic property of ground states for a class of quasilinear Schrödinger equations with $H^1$-critical growth,
   Calc. Var. Partial Differential Equations 58 (2019), No.3, Art.88, 29pp.
5. (with M. Shibata and T. Watanabe) A note on the uniqueness and non-degeneracy of positive radial solutions for semilinear elliptic problems and its application,
   Acta Math. Sci. Ser. B 38B (2018), No.4, 1121–1142.
6. (with M. Shibata and T. Watanabe) Global uniqueness results for ground states for a class of quasilinear elliptic equations,
   Kodai Math. J. 40 (2017), No.1, 117–142.
7. (with T. Watanabe) Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with $H^1$-supercritical exponent,
   J. Differential Equations 260 (2016), No.3, 3086–3118.
8. The existence of multiple positive solutions for a class of non-local elliptic problem in $\mathbb{R}^N$,
   Math. Nachr. 288 (2015), No.5-6, 486–497.
9. (with T. Watanabe) Uniqueness and non-degeneracy of positive radial solutions for quasilinear elliptic equations with exponential nonlinearity,
   Nonlinear Anal. 108 (2014), 275–290.
10. (with M. Shibata and T. Watanabe) Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations in $\mathbb{R}^2$,
    Funkcialaj Ekvacioj 57 (2014), No.2, 297–317.
11. (with M. Shibata and T. Watanabe) Blow up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with $H^1$-supercritical nonlinearities,
    J. Differential Equations 256 (2014), No.4, 1492–1514.
12. (with M. Shibata and T. Watanabe) Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities,
    Commun. Pure Appl. Anal. 13 (2014), No.1, 97–118.
13. (with T. Watanabe) Asymptotic properties of ground states of quasilinear Schrödinger equations with $H^1$-subcritical exponent,
    Adv. Nonlinear Stud. 12 (2012), No.2, 255–279.
14. (with T. Watanabe) Uniqueness of the ground state solutions of quasilinear Schrödinger equations,
    Nonlinear Anal. 75 (2012), No.2, 819–833.
15. (with T. Watanabe) $G$-invariant positive solutions for a quasilinear Schrödinger equation,
    Adv. Differential Equations 16 (2011), No.3-4, 289–324.
16. Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems,
    Topol. Methods in Nonlinear Anal. 25 (2005), No.2, 275–296.
17. (with K. Tanaka and M. Terui) A remark on periodic solutions of singular Hamiltonian systems,
    NoDEA Nonlinear Differential Equations Appl. 12 (2005), No.3, 265–274.
18. Periodic solutions of singular Hamiltonian systems with prescribed energy,
    Nonlinear Anal. 63 (2005), No.5-7, e1039–e1049. published electronically only.
19. A positive solution of a nonhomogeneous elliptic equation in $\mathbb{R}^N$ with $G$-invariant nonlinearity,
    Comm. Partial Differential Equations 27 (2002), No.1-2, 1–22.
20. (with K. Tanaka) Existence of positive solutions for a class of nonhomogeneous elliptic equations in $\mathbb{R}^N$,
    Nonlinear Anal. 48 (2002), No.5, 685–705.
21. (with K. Tanaka) Multiple positive solutions for nonhomogeneous elliptic equations,
    Nonlinear Anal. 47 (2001), No.6, 3783–3793.
22. (with K. Tanaka) Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x)u^p+f(x)$ in $\mathbb{R}^N$,
    Calc. Var. Partial Differential Equations 11 (2000), No.1, 63–95.
23. (with K. Tanaka) Trudinger type inequalities in $\mathbb{R}^N$ and their best exponents,
    Proc. Amer. Math. Soc. 128 (2000), No.7, 2051–2057.