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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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

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)

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)

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)

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)

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)

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)