Nonexistence of multi-bubble solutions to some elliptic equations on convex domains M Grossi, F Takahashi Journal of Functional Analysis 259 (4), 904-917, 2010 | 45 | 2010 |

A simple proof of Hardy’s inequality in a limiting case F Takahashi Archiv der Mathematik 104 (1), 77-82, 2015 | 35 | 2015 |

Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements M Sano, F Takahashi Calculus of variations and partial differential equations 56 (3), 69, 2017 | 32 | 2017 |

Critical and subcritical fractional Trudinger–Moser-type inequalities on ℝ\mathbb {R} F Takahashi Advances in Nonlinear Analysis 8 (1), 868-884, 2017 | 18 | 2017 |

Sharp Hardy–Leray and Rellich–Leray inequalities for curl-free vector fields N Hamamoto, F Takahashi Mathematische Annalen, 1-24, 2019 | 11 | 2019 |

Mean field equation for equilibrium vortices with neutral orientation K Sawada, T Suzuki, F Takahashi Nonlinear Analysis: Theory, Methods & Applications 66 (2), 509-526, 2007 | 10 | 2007 |

Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality M Sano, F Takahashi Electron. J. Differ. Equ. 2016 (212), 1-12, 2016 | 9 | 2016 |

Improved Rellich Type Inequalities in M Sano, F Takahashi Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic …, 2015 | 9 | 2015 |

Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities M Sano, F Takahashi Differential and Integral Equations 31 (1/2), 57-74, 2018 | 8 | 2018 |

On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem F Takahashi Differential and Integral Equations 31 (11/12), 785-806, 2018 | 8 | 2018 |

Nonlinear eigenvalue problem with quantization T Suzuki, F Takahashi STATIONARY PARTIAL DIFFERENTIAL EQUATIONS VOLUME V, 277, 2008 | 7 | 2008 |

On the location of blow up points of least energy solutions to the Brezis-Nirenberg equation F Takahashi Funkcialaj Ekvacioj 47 (1), 145-166, 2004 | 7 | 2004 |

Blow up points and the Morse indices of solutions to the Liouville equation in two-dimension F Takahashi Adv. Nonlinear Stud 12 (1), 115-122, 2012 | 6 | 2012 |

An asymptotic nondegeneracy result for a biharmonic equation with the nearly critical growth F Takahashi Nonlinear Differential Equations and Applications NoDEA 15 (4), 623-637, 2008 | 6 | 2008 |

Finsler Hardy inequalities A Mercaldo, M Sano, F Takahashi Mathematische Nachrichten 293 (12), 2370-2398, 2020 | 5 | 2020 |

Finsler Hardy–Kato's inequality A Alvino, A Ferone, A Mercaldo, F Takahashi, R Volpicelli Journal of Mathematical Analysis and Applications 470 (1), 360-374, 2019 | 5 | 2019 |

Lyapunov inequality for an elliptic problem with the robin boundary condition M Hashizume, F Takahashi Nonlinear Analysis: Theory, Methods & Applications 129, 189-197, 2015 | 5 | 2015 |

On the location of two blowup points on an annulus for the mean field equation M Grossi, F Takahashi Comptes Rendus Mathematique 352 (7-8), 615-619, 2014 | 5 | 2014 |

Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent F Takahashi Journal of Mathematical Analysis and Applications 411 (1), 95-106, 2014 | 5 | 2014 |

Asymptotic behavior of least energy solutions for a biharmonic problem with nearly critical growth F Takahashi Asymptotic Analysis 60 (3-4), 213-226, 2008 | 5 | 2008 |