静岡大学

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Researcher DataBase - Personal Information : ADACHI Shinji

Papers, etc.

【Papers, etc.】
[1]. Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation Manuscripta Mathematica 172/ 933-970 (2023) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe [DOI] [2]. G-invariant positive solutions for a class of locally superlinear Schrödinger equations, Journal of Mathematical Analysis and Applications Journal of Mathematical Analysis and Applications 501/1 - 125765 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi, Tatsuta Watanabe [DOI] [3]. Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H^1-critical growth in R^3 Applicable Analysis 101/2 671-691 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi, Masataka Shibata, Tatsuya Watanabe [DOI] [4]. Asymptotic property of ground states for a class of quasilinear Schrödinger equations with H^1-critical growth Calculus of Variations and Partial Differential Equations 58/3 - 88 (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi, Masataka Shibata, Tatsuya Watanabe [DOI] [5]. A note on the uniqueness and non-degeneracy of positive radial solutions for semilinear elliptic problems and its application Acta Mathematica Scientia 38/4 1121-1142 (2018) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe [6]. Global uniqueness results for ground states for a class of quasilinear elliptic equations Kodai Mathematical Journal 40/1 117-142 (2017) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe [7]. Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with H^1-supercritical exponent Journal of Differential Equations 260/3 3086-3118 (2016) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe [8]. The existence of multiple positive solutions for a class of non-local elliptic problem in R^N Mathematische Nachrichten 288/5 486-497 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi [9]. Uniqueness and non-degeneracy of positive radial solutions for quasilinear elliptic equations with exponential nonlinearity NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 108/ 275-290 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe [10]. Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations in R^2 Funkcialaj Ekvacioj 57/2 297- 317 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe [11]. Blow up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with H^1-supercritical nonlinearities Journal of Differential Equations 256/4 1492-1514 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe [12]. Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities Communications on Pure and Applied Analysis 13/1 97-118 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe [13]. Asymptotic properties of ground states of quasilinear Schrodinger equations with H^1-subcritical exponent Advanced Nonlinear Studies 12/2 255-279 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe [14]. An Introduction to variational problems 64/2 217-221 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] 足達慎二 [15]. Uniqueness of the ground state solutions of quasilinear Schrodinger equations NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 75/2 819-833 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe [16]. Dual variational approach to a quasilinear Schrodinger equation 1740/ 103-119 (2011) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe [17]. G-INVARIANT POSITIVE SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATION Advances in Differential Equations 16/3-4 289-324 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe [18]. Uniqueness of the ground state solutions of quasilinear Schrodinger equations Osaka City University Mathematical Preprint Series 9-19/ - (2010) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe [19]. G-invariant positive solutions for a quasilinear Schrodinger equation Osaka City University Mathematical Preprint Series 9-17/ - (2009) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Tasuya Watanabe [20]. A remark on periodic solutions of singular Hamiltonian systems Nonlinear Differential Equations and Applications 12/3 265-274 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka,Masahito Terui [21]. Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems Topological Methods in Nonlinear Analysis 2/25 275-296 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi [22]. Periodic solutions of singular Hamiltonian systems with prescribed energy NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 63/5-7 1039-1049 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi [23]. Existence of positive solutions for a class of nonhomogeneous elliptic equations in $R^N$ NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 48/5 685-705 (2002) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka [24]. A positive solution of a nonhomogeneous elliptic equation in $R^N$ with $G$-invariant nonlinearity COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 27/1-2 1-22 (2002) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi [25]. A positive solution of semilinear elliptic equation with $G$G-invariant nonlinearity 1307/ 157-174 (2002) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi [26]. Multiple positive solutions for nonhomogeneous elliptic equations NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 47/6 3783-3793 (2001) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka [27]. Positive solutions for nonhomogeneous elliptic equations 1204/ 50-57 (2001) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Shinji Adachi [28]. Four positive solutions for the semilinear elliptic equation: $-Delta u+u=a(x)u^p+f(x)$ in $R^N$ CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 11/1 63-95 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka [29]. Trudinger type inequalities in $R^N$ and their best exponents PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 128 /7 2051-2057 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka [30]. A scale-invariant form of Trudinger-Moser inequality and its best exponent 1102/ 148-153 (1999) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka [31]. Four positive solutions for a semilinear elliptic equation 1117/ 1-8 (1999) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka

[1]. Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation
Manuscripta Mathematica 172/ 933-970 (2023) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe [DOI]
[2]. G-invariant positive solutions for a class of locally superlinear Schrödinger equations, Journal of Mathematical Analysis and Applications
Journal of Mathematical Analysis and Applications 501/1 - 125765 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Tatsuta Watanabe [DOI]
[3]. Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H^1-critical growth in R^3
Applicable Analysis 101/2 671-691 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Masataka Shibata, Tatsuya Watanabe [DOI]
[4]. Asymptotic property of ground states for a class of quasilinear Schrödinger equations with H^1-critical growth
Calculus of Variations and Partial Differential Equations 58/3 - 88 (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Masataka Shibata, Tatsuya Watanabe [DOI]
[5]. A note on the uniqueness and non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
Acta Mathematica Scientia 38/4 1121-1142 (2018) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe
[6]. Global uniqueness results for ground states for a class of quasilinear elliptic equations
Kodai Mathematical Journal 40/1 117-142 (2017) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe
[7]. Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with H^1-supercritical exponent
Journal of Differential Equations 260/3 3086-3118 (2016) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe
[8]. The existence of multiple positive solutions for a class of non-local elliptic problem in R^N
Mathematische Nachrichten 288/5 486-497 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi
[9]. Uniqueness and non-degeneracy of positive radial solutions for quasilinear elliptic equations with exponential nonlinearity
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 108/ 275-290 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe
[10]. Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations in R^2
Funkcialaj Ekvacioj 57/2 297- 317 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe
[11]. Blow up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with H^1-supercritical nonlinearities
Journal of Differential Equations 256/4 1492-1514 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe
[12]. Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities
Communications on Pure and Applied Analysis 13/1 97-118 (2014) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe
[13]. Asymptotic properties of ground states of quasilinear Schrodinger equations with H^1-subcritical exponent
Advanced Nonlinear Studies 12/2 255-279 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe
[14]. An Introduction to variational problems
64/2 217-221 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] 足達慎二
[15]. Uniqueness of the ground state solutions of quasilinear Schrodinger equations
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 75/2 819-833 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe
[16]. Dual variational approach to a quasilinear Schrodinger equation
1740/ 103-119 (2011) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe
[17]. G-INVARIANT POSITIVE SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATION
Advances in Differential Equations 16/3-4 289-324 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe
[18]. Uniqueness of the ground state solutions of quasilinear Schrodinger equations
Osaka City University Mathematical Preprint Series 9-19/ - (2010) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tatsuya Watanabe
[19]. G-invariant positive solutions for a quasilinear Schrodinger equation
Osaka City University Mathematical Preprint Series 9-17/ - (2009) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Tasuya Watanabe
[20]. A remark on periodic solutions of singular Hamiltonian systems
Nonlinear Differential Equations and Applications 12/3 265-274 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka,Masahito Terui
[21]. Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems
Topological Methods in Nonlinear Analysis 2/25 275-296 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi
[22]. Periodic solutions of singular Hamiltonian systems with prescribed energy
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 63/5-7 1039-1049 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi
[23]. Existence of positive solutions for a class of nonhomogeneous elliptic equations in $R^N$
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 48/5 685-705 (2002) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka
[24]. A positive solution of a nonhomogeneous elliptic equation in $R^N$ with $G$-invariant nonlinearity
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 27/1-2 1-22 (2002) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi
[25]. A positive solution of semilinear elliptic equation with $G$G-invariant nonlinearity
1307/ 157-174 (2002) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi
[26]. Multiple positive solutions for nonhomogeneous elliptic equations
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 47/6 3783-3793 (2001) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka
[27]. Positive solutions for nonhomogeneous elliptic equations
1204/ 50-57 (2001) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi
[28]. Four positive solutions for the semilinear elliptic equation: $-Delta u+u=a(x)u^p+f(x)$ in $R^N$
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 11/1 63-95 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka
[29]. Trudinger type inequalities in $R^N$ and their best exponents
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 128 /7 2051-2057 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka
[30]. A scale-invariant form of Trudinger-Moser inequality and its best exponent
1102/ 148-153 (1999) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka
[31]. Four positive solutions for a semilinear elliptic equation
1117/ 1-8 (1999) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Kazunaga Tanaka