論文

• Kazuhiro Kurata, Masataka Shibata. Least energy solutions to semi-linear elliptic problems on metric graphs, Journal of Mathematical Analysis and Applications, vol. 491, no. 1, Nov. 2020.
• Daisuke Naimen, Masataka Shibata. Existence and multiplicity of positive solutions of a critical Kirchhoff type elliptic problem in dimension four, Differential and Integral Equations, vol. 33, no. 5-6, pp. 223-246, May 2020.
• Hiroshi Iriyeh, Masataka Shibata. Symmetric Mahler's conjecture for the volume product in the 3-dimensional case, Duke Mathematical Journal, vol. 169, no. 6, pp. 1077-1134, Apr. 2020.
• Daisuke Naimen, Masataka Shibata. Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension, Nonlinear Anal., vol. 186, pp. 187-208, Sept. 2019.
• Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. Asymptotic property of ground states for a class of quasilinear Schrödinger equation with H^1-critical growth, Calc. Var. Partial Differential Equations, vol. 58, no. 3, pp. 29, June 2019.
• Yohei Sato, Masataka Shibata. Infinitely many solutions for a nonlinear Schrödinger equation with general nonlinearity, Calc. Var. Partial Differential Equations, vol. 57, no. 5, art. 137, 31pp, 2018.
• Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application, Acta Math. Sci. Ser. B (Engl. Ed.), vol. 38, no. 4, pp. 1121-1142, 2018.
• Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. Global uniqueness results for ground states for a class of quasilinear elliptic equations, Kodai Math. J., vol. 40, no. 1, pp. 117-142, 2017.
• Masataka Shibata. A new rearrangement inequality and its application for L^2-constraint minimizing problems, Math. Z., vol. 287, no. 1-2, pp. 341-359, 2017.
• Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with H^1-supercritical nonlinearities, J. Differential Equations, vol. 256, no. 4, pp. 1492-1514, 2014.
• Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations in R^2., Funkcial. Ekvac., vol. 57, no. 2, pp. 297-317, 2014.
• Yohei Sato, Masataka Shibata. Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity, Adv. Nonlinear Anal., vol. 3, suppl. 1, pp. s55-s67, 2014.
• Masataka Shibata. Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term, Manuscripta Math., vol. 143, no. 1-2, pp. 221-237, 2014.
• Shinji Adachi, Masataka Shibata, Tatsuya Watanabe. Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities, Commun. Pure Appl. Anal., vol. 13, no. 1, pp. 97-118, 2014.
• Masataka Shibata. Asymptotic profile of a least-energy solution to a nonlinear elliptic equation in nonlinear optics, Proc. Roy. Soc. Edinburgh Sect. A, vol. 138, no. 3, pp. 619-646, 2008.
• K. Kurata, M. Shibata, T. Watanabe.. A symmetry breaking phenomenon and asymptotic profiles of least energy solutions to a nonlinear Schrodinger equation, Proceedings of the Royal Society of Edinburgh, Vol. 135A, No. 2, pp. 357-392, 2005.
• M. Shibata. An existence result for some semi-linear elliptic equation in bent strip-like unbounded domains, Advances in Mathematical Sciences and Applications, Vol. 15, No. 2, pp. 587-601, 2005.
• Kazuhiro Kurata, Masataka Shibata, Shigeru Sakamoto. Symmetry-Breaking Phenomena in an Optimization Problem for Some Nonlinear Elliptic Equation, Applied Mathematics and Optimization, Vol. 50, pp. 259-278, 2004.
• Kazuhiro Kurata, Masataka Shibata, Kazuo Tada. Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends, Nonlinear Analysis, Vol. 55, pp. 83-101, 2003.
• Masataka Shibata. Asymptotic shape of a solution for the plasma problem in higher dimensional spaces, Communications on Pure and Applied Analysis, Vol. 2, pp. 259-275, 2003.
• Masataka Shibata. Asymptotic shape of a least energy solution to an elliptic free-boundary problem with non-autonomous nonlinearity, Asymptotic Analysis, Vol. 31, pp. 1-42, 2002.
• Kazuhiro Kurata, Masataka Shibata. On a one-dimensional variational problem related to the Cahn-Hilliard energy in a bent strip-like domain, Nonlinear Analysis, Vol. 47, pp. 1059-1068, 2001.

学位論文

• 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,  本文,  Doctor of Science,  Tokyo Metropolitan University,  2004/12/--, 
• 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,  Master of Science,  Tokyo Metropolitan University,  2000/--/--, 

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