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Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in $$\mathbb R^2$$
Hidemitsu Wadade, Michinori Ishiwata
Calculus of Variations and Partial Differential Equations Vol. 60 No. 6 2021/12 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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Variational p-harmonious functions: existence and convergence to p-harmonic functions
E. W. Chandra, M. Ishiwata, R. Magnanini, H. Wadade
Nonlinear Differential Equations and Applications NoDEA Vol. 28 No. 5 2021/09 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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Asymptotics for a parabolic equation with critical exponential nonlinearity
Michinori Ishiwata, Bernhard Ruf, Federica Sani, Elide Terraneo
Journal of Evolution Equations Vol. 21 No. 2 p. 1677-1716 2021/06 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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On the effect of inhomogeneous constraints for a maximizing problem associated with the Sobolev embedding of the space of functions of bounded variation
Michinori Ishiwata, Hidemitsu Wadade
Studia Mathematica Vol. 257 No. 2 p. 213-240 2021 Research paper (scientific journal)
Publisher: Institute of Mathematics, Polish Academy of Sciences
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A potential well argument for a semilinear parabolic equation with exponential nonlinearity
Ishiwata, Michinori, Ruf, Bernhard, Sani, Federica, Terraneo, Elide
MATRIX annals Vol. 3 p. 265-273 2020/05 Research paper (international conference proceedings)
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On the maximizing problem associated with Sobolev-type embeddings under inhomogeneous constraints
Michinori Ishiwata, Hidemitsu Wadade
Applicable Analysis Vol. 98 No. 10 p. 1916-1934 2019/07/27 Research paper (scientific journal)
Publisher: Informa UK Limited
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Existence and non-existence of maximizers for the Moser–Trudinger type inequalities under inhomogeneous constraints
Norihisa Ikoma, Michinori Ishiwata, Hidemitsu Wadade
Mathematische Annalen Vol. 373 No. 1-2 p. 831-851 2019/02 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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Hardy type inequalities in L p $L^{p}$ with sharp remainders
Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa
Journal of Inequalities and Applications Vol. 2017 No. 1 2017/12 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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A natural approach to the asymptotic mean value property for the p-Laplacian
Michinori Ishiwata, Rolando Magnanini, Hidemitsu Wadade
Calculus of Variations and Partial Differential Equations Vol. 56 No. 4 2017/08 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in $${\mathbb {R } }^N$$ R N
Michinori Ishiwata, Hidemitsu Wadade
Mathematische Annalen Vol. 364 No. 3-4 p. 1043-1068 2016/04 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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Sharp remainder of a critical Hardy inequality
Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa
Archiv der Mathematik Vol. 106 No. 1 p. 65-71 2016/01 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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A note on the scale invariant structure of critical Hardy inequalities
Ioku, Norisuke, Ishiwata, Michinori
Geometric properties for parabolic and elliptic PDE's p. 97-120 2016 Research paper (international conference proceedings)
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On a variational problem associated with a Hardy type inequality involving a mean oscillation
Norisuke Ioku, Michinori Ishiwata
Calculus of Variations and Partial Differential Equations Vol. 54 No. 4 p. 3949-3966 2015/12 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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Remarks on the Cauchy problem of Klein-Gordon equations with weighted nonlinear terms
Ishiwata, Michinori, Nakamura, Makoto, Wadade, Hidemitsu
Discrete Contin. Dyn. Syst. Vol. 35 No. 10 p. 4889-4903 2015 Research paper (scientific journal)
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A Scale Invariant Form of a Critical Hardy Inequality
Norisuke Ioku, Michinori Ishiwata
International Mathematics Research Notices Vol. 2015 No. 18 p. 8830-8846 2015 Research paper (scientific journal)
Publisher: Oxford University Press (OUP)
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Positive solution to semilinear parabolic equation associated with critical Sobolev exponent
Michinori Ishiwata, Takashi Suzuki
Nonlinear Differential Equations and Applications NoDEA Vol. 20 No. 4 p. 1553-1576 2013/08 Research paper (scientific journal)
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Multiple positive solutions of semilinear elliptic equations with weight function in exterior domains
Ishiwata, Michinori
Differential Integral Equations Vol. 26 No. 1-2 p. 183-200 2013 Research paper (scientific journal)
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On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains
Ishiwata, Michinori
Nankai Ser. Pure Appl. Math. Theoret. Phys. Vol. 10 p. 41-53 2013
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Heat equation with a singular potential on the boundary and the Kato inequality
Kazuhiro Ishige, Michinori Ishiwata
Journal d'Analyse Mathématique Vol. 118 No. 1 p. 161-176 2012/10 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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Global solutions for a semilinear heat equation in the exterior domain of a compact set
Ishige, Kazuhiro, Ishiwata, Michinori
Discrete Contin. Dyn. Syst. Vol. 32 No. 3 p. 847-865 2012 Research paper (scientific journal)
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Existence and nonexistence of maximizers for variational problems associated with Trudinger–Moser type inequalities in $${\mathbb{R}^N}$$
Michinori Ishiwata
Mathematische Annalen Vol. 351 No. 4 p. 781-804 2011/12 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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On the asymptotic behavior of unbounded radial solutions for semilinear parabolic problems involving critical Sobolev exponent
Michinori Ishiwata
Journal of Differential Equations Vol. 249 No. 6 p. 1466-1482 2010/09 Research paper (scientific journal)
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Semilinear parabolic equation in \( R^{N} \) associated with critical Sobolev exponent
Ryo Ikehata, Michinori Ishiwata, Takashi Suzuki
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Vol. 27 No. 3 p. 877-900 2010/06 Research paper (scientific journal)
Publisher: European Mathematical Society - EMS - Publishing House GmbH
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The decay of the solutions for the heat equation with a potential
Kazuhiro Ishige, Michinori Ishiwata, Tatsuki Kawakami
Indiana Univ. Math. J. Vol. 58 No. 6 p. 2673-2708 2009 Research paper (scientific journal)