Edit Profile (opens in new tab) Shibata, Masataka Co-Author Distance Author ID: shibata.masataka Published as: Shibata, Masataka Documents Indexed: 35 Publications since 1986 Co-Authors: 8 Co-Authors with 21 Joint Publications 60 Co-Co-Authors all top 5 Co-Authors 9 single-authored 8 Watanabe, Tatsuya 7 Adachi, Shinji 6 Kurata, Kazuhiro 3 Iriyeh, Hiroshi 3 Sato, Yohei 2 Naimen, Daisuke 2 Tada, Kazuo 1 Duez, Matthew D. 1 Sakamoto, Shigeru 1 Shapiro, Stuart L. 1 Stephens, B. C. all top 5 Serials 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 RIMS Kokyuroku 3 Communications on Pure and Applied Analysis 2 Acta Mechanica 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Calculus of Variations and Partial Differential Equations 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Journal of Mathematical Analysis and Applications 1 Physics of Fluids, A 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Equations 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Discrete & Computational Geometry 1 Computational Mechanics 1 Asymptotic Analysis 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Advances in Mathematical Sciences and Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advances in Nonlinear Analysis 1 Journal of Elliptic and Parabolic Equations all top 5 Fields 25 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Convex and discrete geometry (52-XX) 2 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 209 times in 186 Documents Cited by ▼ Year ▼ Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term. Zbl 1290.35252 Shibata, Masataka 56 2014 A new rearrangement inequality and its application for \(L^2\)-constraint minimizing problems. Zbl 1382.35012 Shibata, Masataka 31 2017 Symmetric Mahler’s conjecture for the volume product in the \(3\)-dimensional case. Zbl 1439.52007 Iriyeh, Hiroshi; Shibata, Masataka 25 2020 Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with \(H^1\)-supercritical nonlinearities. Zbl 1287.35032 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 15 2014 Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension. Zbl 1421.35116 Naimen, Daisuke; Shibata, Masataka 12 2019 Least energy solutions to semi-linear elliptic problems on metric graphs. Zbl 1448.35250 Kurata, Kazuhiro; Shibata, Masataka 9 2020 Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities. Zbl 1273.35136 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 8 2014 A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application. Zbl 1438.35165 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 8 2018 Symmetry-breaking phenomena in an optimization problem for some nonlinear elliptic equation. Zbl 1056.49004 Kurata, Kazuhiro; Shibata, Masataka; Sakamoto, Shigeru 7 2004 Global uniqueness results for ground states for a class of quasilinear elliptic equations. Zbl 1371.35116 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 7 2017 Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations in \(\mathbb{R}^2\). Zbl 1303.35030 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 5 2014 Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity. Zbl 1303.35104 Sato, Yohei; Shibata, Masataka 5 2014 Infinitely many solutions for a nonlinear Schrödinger equation with general nonlinearity. Zbl 1401.35122 Sato, Yohei; Shibata, Masataka 5 2018 A finite element technique combined with gas-liquid two-phase flow calculation for unsteady free surface flow problems. Zbl 0932.76036 Nakayama, T.; Shibata, M. 3 1998 Slow parallel flows of a water-granule mixture under gravity. I: Continuum modeling. Zbl 0608.76100 Shibata, M.; Mei, C. C. 3 1986 Asymptotic shape of a least energy solution to an elliptic free-boundary problem with non-autonomous nonlinearity. Zbl 1037.35107 Shibata, Masataka 3 2002 Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends. Zbl 1274.35117 Kurata, Kazuhiro; Shibata, Masataka; Tada, Kazuo 2 2003 Asymptotic shape of a solution for the plasma problem in higher dimensional spaces. Zbl 1140.35432 Shibata, Masataka 2 2003 A symmetry-breaking phenomenon and asymptotic profiles of least-energy solutions to a nonlinear Schrödinger equation. Zbl 1081.34085 Kurata, Kazuhiro; Watanabe, Tatsuya; Shibata, Masataka 2 2005 Inertia effects of a localized force distribution near a wall in a slow shear flow. Zbl 0703.76025 Shibata, M.; Mei, C. C. 2 1990 Asymptotic property of ground states for a class of quasilinear Schrödinger equation with \(H^1\)-critical growth. Zbl 1418.35173 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 2 2019 Existence and multiplicity of positive solutions of a critical Kirchhoff type elliptic problem in dimension four. Zbl 1463.35223 Naimen, Daisuke; Shibata, Masataka 2 2020 Collapse and Black hole formation in magnetized, differentially rotating neutron stars. Zbl 1117.83080 Stephens, B. C.; Duez, M. D.; Liu, Y. T.; Shapiro, S. L.; Shibata, M. 1 2007 On a one-dimensional variational problem related to the Cahn-Hilliard energy in a bent strip-like domain. Zbl 1042.49500 Kurata, Kazuhiro; Shibata, Masataka 1 2001 Slow parallel flows of a water-granule mixture under gravity. II: Examples of free surface and channel flows. Zbl 0608.76101 Shibata, M.; Mei, C. C. 1 1986 Multiplicity of positive solutions to semi-linear elliptic problems on metric graphs. Zbl 1492.34030 Shibata, Masataka 1 2021 Minimal volume product of three dimensional convex bodies with various discrete symmetries. Zbl 1504.52007 Iriyeh, Hiroshi; Shibata, Masataka 1 2022 Minimal volume product of three dimensional convex bodies with various discrete symmetries. Zbl 1504.52007 Iriyeh, Hiroshi; Shibata, Masataka 1 2022 Multiplicity of positive solutions to semi-linear elliptic problems on metric graphs. Zbl 1492.34030 Shibata, Masataka 1 2021 Symmetric Mahler’s conjecture for the volume product in the \(3\)-dimensional case. Zbl 1439.52007 Iriyeh, Hiroshi; Shibata, Masataka 25 2020 Least energy solutions to semi-linear elliptic problems on metric graphs. Zbl 1448.35250 Kurata, Kazuhiro; Shibata, Masataka 9 2020 Existence and multiplicity of positive solutions of a critical Kirchhoff type elliptic problem in dimension four. Zbl 1463.35223 Naimen, Daisuke; Shibata, Masataka 2 2020 Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension. Zbl 1421.35116 Naimen, Daisuke; Shibata, Masataka 12 2019 Asymptotic property of ground states for a class of quasilinear Schrödinger equation with \(H^1\)-critical growth. Zbl 1418.35173 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 2 2019 A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application. Zbl 1438.35165 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 8 2018 Infinitely many solutions for a nonlinear Schrödinger equation with general nonlinearity. Zbl 1401.35122 Sato, Yohei; Shibata, Masataka 5 2018 A new rearrangement inequality and its application for \(L^2\)-constraint minimizing problems. Zbl 1382.35012 Shibata, Masataka 31 2017 Global uniqueness results for ground states for a class of quasilinear elliptic equations. Zbl 1371.35116 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 7 2017 Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term. Zbl 1290.35252 Shibata, Masataka 56 2014 Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with \(H^1\)-supercritical nonlinearities. Zbl 1287.35032 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 15 2014 Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities. Zbl 1273.35136 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 8 2014 Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations in \(\mathbb{R}^2\). Zbl 1303.35030 Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya 5 2014 Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity. Zbl 1303.35104 Sato, Yohei; Shibata, Masataka 5 2014 Collapse and Black hole formation in magnetized, differentially rotating neutron stars. Zbl 1117.83080 Stephens, B. C.; Duez, M. D.; Liu, Y. T.; Shapiro, S. L.; Shibata, M. 1 2007 A symmetry-breaking phenomenon and asymptotic profiles of least-energy solutions to a nonlinear Schrödinger equation. Zbl 1081.34085 Kurata, Kazuhiro; Watanabe, Tatsuya; Shibata, Masataka 2 2005 Symmetry-breaking phenomena in an optimization problem for some nonlinear elliptic equation. Zbl 1056.49004 Kurata, Kazuhiro; Shibata, Masataka; Sakamoto, Shigeru 7 2004 Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends. Zbl 1274.35117 Kurata, Kazuhiro; Shibata, Masataka; Tada, Kazuo 2 2003 Asymptotic shape of a solution for the plasma problem in higher dimensional spaces. Zbl 1140.35432 Shibata, Masataka 2 2003 Asymptotic shape of a least energy solution to an elliptic free-boundary problem with non-autonomous nonlinearity. Zbl 1037.35107 Shibata, Masataka 3 2002 On a one-dimensional variational problem related to the Cahn-Hilliard energy in a bent strip-like domain. Zbl 1042.49500 Kurata, Kazuhiro; Shibata, Masataka 1 2001 A finite element technique combined with gas-liquid two-phase flow calculation for unsteady free surface flow problems. Zbl 0932.76036 Nakayama, T.; Shibata, M. 3 1998 Inertia effects of a localized force distribution near a wall in a slow shear flow. Zbl 0703.76025 Shibata, M.; Mei, C. C. 2 1990 Slow parallel flows of a water-granule mixture under gravity. I: Continuum modeling. Zbl 0608.76100 Shibata, M.; Mei, C. C. 3 1986 Slow parallel flows of a water-granule mixture under gravity. II: Examples of free surface and channel flows. Zbl 0608.76101 Shibata, M.; Mei, C. C. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 260 Authors 10 Watanabe, Tatsuya 9 Shibata, Masataka 7 Adachi, Shinji 7 Zhang, Zhitao 6 Jeanjean, Louis 6 Zou, Wenming 5 Gou, Tianxiang 5 Luo, Xiao 5 Tang, Xianhua 5 Zhong, Xuexiu 4 Alves, Claudianor Oliveira 4 Chen, Haibo 4 Fradelizi, Matthieu 4 Garrisi, Daniele 4 Ishii, Yuta 4 Severo, Uberlandio Batista 4 Wang, Youjun 4 Wang, Zhi-Qiang 4 Zhang, Jianjun 3 Artstein-Avidan, Shiri 3 Chen, Sitong 3 Jia, HuiFang 3 Kong, Lingzheng 3 Kurata, Kazuhiro 3 Liu, Haidong 3 Lu, Sheng-Sen 3 Luo, Haijun 3 Perera, Kanishka 3 Qiu, Chong 3 Sato, Yohei 3 Wang, Jun 3 Yang, Zuo 3 Zhang, Chengxiang 3 Zhen, Maoding 3 Zhou, Yuying 3 Zvavitch, Artem 2 Alexander, Matthew 2 Baldelli, Laura 2 Cassani, Daniele 2 Chen, Chunfang 2 Chen, Jianhua 2 Chen, Zhen 2 de Souza, Manassés X. 2 Fang, Xiangdong 2 Faraci, Francesca 2 Filippucci, Roberta 2 Gao, Liu 2 Geng, Qiuping 2 Georgiev, Vladimir S. 2 Han, Yuzhu 2 Huang, Yisheng 2 Ikoma, Norihisa 2 Kairzhan, Adilbek 2 Li, Gongbao 2 Li, Qi 2 Li, Zaizheng 2 Liu, Meiqi 2 Miyamoto, Yasuhito 2 Osada, Yuki 2 Pelinovsky, Dmitry Efimovich 2 Peng, Shuangjie 2 Qi, Shijie 2 Roldán-Pensado, Edgardo 2 Sadovsky, Shay 2 Silva, Kaye O. 2 Soave, Nicola 2 Tanaka, Kazunaga 2 Tang, Chun-Lei 2 Tang, Zhongwei 2 Vieira, Gilberto F. 2 Wei, Juncheng 2 Wu, Tsungfang 2 Xie, Qilin 2 Zhang, Qidi 2 Zhang, Xu 2 Zhang, Yimin 2 Zhu, Chuanxi 1 Akahori, Takafumi 1 Albuquerque, Francisco S. B. Albuquerque 1 Ao, Yong 1 Averkov, Gennadiy 1 Barthe, Franck 1 Bartolucci, Daniele 1 Besse, Christophe 1 Bieganowski, Bartosz 1 Biswas, Nirjan 1 Cao, Daomin 1 Carles, Rémi 1 Chen, Jianqing 1 Chen, Yongpeng 1 Cheng, Bitao 1 Cheng, Yongkuan 1 Chergui, Lassaad 1 Cingolani, Silvia 1 Codenotti, Giulia 1 Cuccagna, Scipio 1 Das, Ujjal 1 de Carvalho, Gilson M. 1 De Coster, Colette 1 Del Pezzo, Leandro M. ...and 160 more Authors all top 5 Cited in 77 Serials 16 Journal of Differential Equations 13 Calculus of Variations and Partial Differential Equations 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 The Journal of Geometric Analysis 7 Journal of Mathematical Analysis and Applications 7 Communications on Pure and Applied Analysis 6 Discrete and Continuous Dynamical Systems 5 Journal of Mathematical Physics 5 Journal of Functional Analysis 4 Discrete & Computational Geometry 4 Advanced Nonlinear Studies 4 Journal of Fixed Point Theory and Applications 4 Advances in Nonlinear Analysis 3 Applicable Analysis 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Topological Methods in Nonlinear Analysis 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications in Contemporary Mathematics 3 Mediterranean Journal of Mathematics 3 Electronic Research Archive 2 Annales Polonici Mathematici 2 Applied Mathematics and Optimization 2 Geometriae Dedicata 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Acta Applicandae Mathematicae 2 Advances in Differential Equations 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis and Mathematical Physics 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Advances in Applied Mathematics 1 Physica D 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Analysis in Theory and Applications 1 Oberwolfach Reports 1 Contributions to Discrete Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Palestine Journal of Mathematics 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 30 Fields 155 Partial differential equations (35-XX) 23 Convex and discrete geometry (52-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 8 Operator theory (47-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Ordinary differential equations (34-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) Citations by Year