@article{CTT100833298, author = {Kazuhiro Kurata and Masataka Shibata}, title = {Least energy solutions to semi-linear elliptic problems on metric graphs}, journal = {Journal of Mathematical Analysis and Applications}, year = 2020, } @article{CTT100833296, author = {Daisuke Naimen and Masataka Shibata}, title = {Existence and multiplicity of positive solutions of a critical Kirchhoff type elliptic problem in dimension four}, journal = {Differential and Integral Equations}, year = 2020, } @article{CTT100833295, author = {Hiroshi Iriyeh and Masataka Shibata}, title = {Symmetric Mahler's conjecture for the volume product in the 3-dimensional case}, journal = {Duke Mathematical Journal}, year = 2020, } @article{CTT100815499, author = {Daisuke Naimen and Masataka Shibata}, title = {Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension}, journal = {Nonlinear Anal.}, year = 2019, } @article{CTT100815498, author = {Shinji Adachi and Masataka Shibata and Tatsuya Watanabe}, title = {Asymptotic property of ground states for a class of quasilinear Schrödinger equation with H^1-critical growth}, journal = {Calc. Var. Partial Differential Equations}, year = 2019, } @article{CTT100776765, author = {Yohei Sato and Masataka Shibata}, title = {Infinitely many solutions for a nonlinear Schrödinger equation with general nonlinearity}, journal = {Calc. Var. Partial Differential Equations}, year = 2018, } @article{CTT100776764, author = {Shinji Adachi and Masataka Shibata and Tatsuya Watanabe}, title = {A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application}, journal = {Acta Math. Sci. Ser. B (Engl. Ed.)}, year = 2018, } @article{CTT100776762, author = {Shinji Adachi and Masataka Shibata and Tatsuya Watanabe}, title = {Global uniqueness results for ground states for a class of quasilinear elliptic equations}, journal = {Kodai Math. J.}, year = 2017, } @article{CTT100776763, author = {Masataka Shibata}, title = {A new rearrangement inequality and its application for L^2-constraint minimizing problems}, journal = {Math. Z.}, year = 2017, } @article{CTT100727097, author = {Shinji Adachi and Masataka Shibata and Tatsuya Watanabe}, title = {Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with H^1-supercritical nonlinearities}, journal = {J. Differential Equations}, year = 2014, } @article{CTT100727093, author = {Shinji Adachi and Masataka Shibata and Tatsuya Watanabe}, title = {Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations in R^2.}, journal = {Funkcial. Ekvac.}, year = 2014, } @article{CTT100727094, author = {Yohei Sato and Masataka Shibata}, title = {Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity}, journal = {Adv. Nonlinear Anal.}, year = 2014, } @article{CTT100727096, author = {Masataka Shibata}, title = {Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term}, journal = {Manuscripta Math.}, year = 2014, } @article{CTT100727099, author = {Shinji Adachi and Masataka Shibata and Tatsuya Watanabe}, title = {Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities}, journal = {Commun. Pure Appl. Anal.}, year = 2014, } @article{CTT100727100, author = {Masataka Shibata}, title = {Asymptotic profile of a least-energy solution to a nonlinear elliptic equation in nonlinear optics}, journal = {Proc. Roy. Soc. Edinburgh Sect. A}, year = 2008, } @article{CTT100406761, author = {K. Kurata and M. Shibata and T. Watanabe.}, title = {A symmetry breaking phenomenon and asymptotic profiles of least energy solutions to a nonlinear Schrodinger equation}, journal = {Proceedings of the Royal Society of Edinburgh}, year = 2005, } @article{CTT100406762, author = {M. Shibata}, title = {An existence result for some semi-linear elliptic equation in bent strip-like unbounded domains}, journal = {Advances in Mathematical Sciences and Applications}, year = 2005, } @article{CTT100503774, author = {Kazuhiro Kurata and Masataka Shibata and Shigeru Sakamoto}, title = {Symmetry-Breaking Phenomena in an Optimization Problem for Some Nonlinear Elliptic Equation}, journal = {Applied Mathematics and Optimization}, year = 2004, } @article{CTT100475839, author = {Kazuhiro Kurata and Masataka Shibata and Kazuo Tada}, title = {Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends}, journal = {Nonlinear Analysis}, year = 2003, } @article{CTT100475843, author = {Masataka Shibata}, title = {Asymptotic shape of a solution for the plasma problem in higher dimensional spaces}, journal = {Communications on Pure and Applied Analysis}, year = 2003, } @article{CTT100475842, author = {Masataka Shibata}, title = {Asymptotic shape of a least energy solution to an elliptic free-boundary problem with non-autonomous nonlinearity}, journal = {Asymptotic Analysis}, year = 2002, } @article{CTT100475838, author = {Kazuhiro Kurata and Masataka Shibata}, title = {On a one-dimensional variational problem related to the Cahn-Hilliard energy in a bent strip-like domain}, journal = {Nonlinear Analysis}, year = 2001, } @misc{CTT100595458, author = {Masataka Shibata}, title = {非線型楕円型方程式の解の存在と漸近的な形状について}, year = 2004, } @misc{CTT100594309, author = {Masataka Shibata}, title = {非斉次な非線型項を持つ楕円型自由境界問題の最小エネルギー解の漸近的な形状について}, year = 2000, } @phdthesis{CTT100595458, author = {Masataka Shibata}, title = {非線型楕円型方程式の解の存在と漸近的な形状について}, school = {東京都立大学}, year = 2004, } @mastersthesis{CTT100594309, author = {Masataka Shibata}, title = {非斉次な非線型項を持つ楕円型自由境界問題の最小エネルギー解の漸近的な形状について}, school = {東京都立大学}, year = 2000, }