和田出秀光

学歴・学位

東北大学大学院 理学研究科 数学専攻 博士課程 (理学) 博士号取得

金沢大学理工研究域機械工学系(准教授)

担当コース名

大学編入コース・大学院進学コース・医学部学士編入コース

講師紹介

2024年8月まで金沢大学理工研究域機械工学系の准教授として勤務。大学編入試験や大学院入試の作問も毎年行っていたことから、出題者の視点からの指導が可能。また、研究業績にも目を見張るものがあり、研究者としての実績としても目を見張るものがある。現在は、大学編入や大学院入試を受験する人の力に、スプリング・オンライン家庭教師での講師を務める。

業績目録
査読付き雑誌に掲載または投稿中の論文

函数方程式論分科会2016 年度第8 回福原賞, 2016 年12 月.
業績題目: 臨界型函数不等式と関連する非線形楕円型問題に関する研究
12

Hideo Kozono, Tokushi Sato, Hidemitsu Wadade, Upper bound of the best
constant of a Trudinger-Moser inequality and its application to a Gagliardo-
Nirenberg inequality, Indiana University Mathematics Journal 55-6 (2006),
1951-1974.

Hideo Kozono, Hidemitsu Wadade, Remarks on Gagliardo-Nirenberg type in-
equality with critical Sobolev space and BMO, Mathematische Zeitschrift 259-
4 (2008), 935-950.

Hidemitsu Wadade, Remarks on the Gagliardo-Nirenberg type inequality in
the Besov and the Triebel-Lizorkin spaces in the limiting case, Journal of
Fourier Analysis and Applications 15-6 (2009), 857-870.

Sei Nagayasu, Hidemitsu Wadade, Characterization of the critical Sobolev
space on the optimal singularity at the origin, Journal of Functional Analysis
258-11 (2010), 3725-3757.

Chun-Hsiung Hsia, Chang-Shou Lin, Hidemitsu Wadade, Revisiting an idea of
Br´ezis and Nirenberg, Journal of Functional Analysis 259 (2010), 1816-1849.

Kei Morii, Tokushi Sato, Hidemitsu Wadade, Br´ezis-Gallou¨et-Wainger type
inequality with a double logarithmic term in the H¨older space : its sharp
constants and extremal functions, Nonlinear Analysis : Theory, Methods and
Applications 73 (2010), 1747-1766.

Kei Morii, Tokushi Sato, Yoshihiro Sawano, Hidemitsu Wadade, Sharp con-
stants of Br´ezis-Gallou¨et-Wainger type inequalities with a double logarithmic
term on bounded domains in Besov and Triebel-Lizorkin spaces, Boundary
Value Problems 2010, Art. ID 584521, 38 pp.

Hidemitsu Wadade, Remarks on the critical Besov space and its embedding
into weighted Besov-Orlicz spaces, Studia Mathematica 201 (2010), 227-251.

Kei Morii, Tokushi Sato, Hidemitsu Wadade, Br´ezis-Gallou¨et-Wainger in-
equality with a double logarithmic term on a bounded domain and its sharp
constants, Mathematical Inequalities and Applications 14 (2011), 295-312.
1

Chang-Shou Lin, Hidemitsu Wadade, Minimizing problems for the Hardy-
Sobolev type inequality with the singularity on the boundary, Tohoku Math-
ematical Journal 64 (2012), 79-103.

Tomoyuki Suzuki, Hidemitsu Wadade, Optimal embeddings on critical Sobolev-
Lorentz spaces into generalized Morrey spaces, Advances in Mathematical Sci-
ences and Applications 22 (2012), 225-238.

Yoshihiro Sawano, Hidemitsu Wadade, On the Gagliardo-Nirenberg type in-
equality in the critical Sobolev-Morrey space, Journal of Fourier Analysis and
Applications 19 (2013), 20-47.

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade, Hardy type inequalities
on balls, Tohoku Mathematical Journal 65 (2013), 321-330.

Hidemitsu Wadade, Quantitative estimates of embedding constants for Gagliardo-
Nirenberg inequalities on critical Sobolev-Besov-Lorentz spaces, Journal of
Fourier Analysis and Applications 19 (2013), 1029-1059.

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade, Generalizations of the
logarithmic Hardy inequality in critical Sobolev-Lorentz spaces, Journal of
Inequalities and Applications (2013), 2013:381.

Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade, On the sharp con-
stant for the weighted Trudinger-Moser type inequality of the scaling invariant
form, Annales de l’Institut Henri Poincar´e (C) Analyse non lin´eaire 31 (2014),
297-314.

Hidemitsu Wadade, Optimal embeddings of critical Sobolev-Lorentz-Zygmund
spaces, Studia Mathematica 223 (2014), 77-96.

Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade, Remarks on the
Cauchy problem of Klein-Gordon equation with a weighted nonlinear term,
Discrete and Continuous Dynamical Systems – Series A 35 (2015), 4889-4903.

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade, Scaling invariant Hardy
inequalities of multiple logarithmic type on the whole space, Journal of In-
equalities and Applications (2015), 2015:281.

Michinori Ishiwata, Hidemitsu Wadade, On the effect of equivalent constraints
on a maximizing problem associated with the Sobolev type embeddings in RN
,
Mathematische Annalen 364 (2016), 1043-1068.
2

Michinori Ishiwata, Rolando Magnanini, Hidemitsu Wadade, A natural ap-
proach to the asymptotic mean value property for the p-Laplacian, Calculus
of Variations and Partial Differential Equations 56 (2017), 56:97.

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade, Remarks on the Rellich
inequality, Mathematische Zeitschrift 286 (2017), 1367–1373.

Norihisa Ikoma, Michinori Ishiwata, Hidemitsu Wadade, Existence and non-
existence of maximizers for the Moser-Trudinger type inequalities under inho-
mogeneous constraints, Mathematische Annalen 373 (2019), 831–851.

Michinori Ishiwata, Hidemitsu Wadade, On the maximizing problem associ-
ated with Sobolev type embeddings under inhomogeneous constraints, Appli-
cable Analysis 98 (2019), 1916–1934.

Michinori Ishiwata, Hidemitsu Wadade, On an effect of inhomogeneous con-
straints for a maximizing problem of the Sobolev embedding associated with
the space of bounded variation, Studia Mathematica 257 (2021), 213–240.

Michinori Ishiwata, Hidemitsu Wadade, Vanishing-concentration-compactness
alternative for critical Sobolev embedding with a general integrand in R2
,
submitted to Calculus of Variations and Partial Differential Equations.

Evan William Chandra, Michinori Ishiwata, Rolando Magnanini, Hidemitsu
Wadade, Variational p-harmonious functions : existence and convergence to
p-harmonic functions, submitted to Nonlinear Differential Equations and Ap-
plications NoDEA.
査読付き会議録に掲載の論文

Hideo Kozono, Kouei Minamidate, Hidemitsu Wadade, Sobolev’s imbedding
theorem in the limiting case with Lorentz space and BMO, Advanced Studies
in Pure Mathematics 47-1 (2007), 159-167.

Chun-Hsiung Hsia, Chang-Shou Lin, Hidemitsu Wadade, The existence of
positive solutions to the semilinear elliptic equation involving the Sobolev and
the Sobolev-Hardy critical terms, RIMS Kokyuroku Bessatsu B26 (2011),
133–157.

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade, Remarks on the Hardy
type inequalities with remainder terms in the framework of equalities, Ad-
vanced Studies in Pure Mathematics 81 (2019), 247-258.
3
報告文

Hideo Kozono, Tokushi Sato, Hidemitsu Wadade, Upper bound of the best
constant of the Trudinger-Moser inequality and its application to the Gagliardo-
Nirenberg inequality, 変分問題とその周辺, 京都大学数理解析研究所講究録
1405 (2004), 66-72.

Hideo Kozono, Kouei Minamidate, Hidemitsu Wadade, Sobolev’s imbedding
theorem in the limiting case with Lorentz space and BMO, The 2nd COE
Conference for Young Researchers, 北海道大学数学講究録104 (2006), 47-51.

Chang-Shou Lin, Hidemitsu Wadade, On the attainability for the best constant
for the Sobolev-Hardy type inequality, 変分問題の展開-幾何学的勾配流と臨界
点理論の新潮流, 京都大学数理解析研究所講究録1740 (2011), 141-157.
国際会議における発表
(口頭発表, 以下すべて査読なし)

Sobolev’s imbedding theorem in the limiting case with Lorentz space and
BMO, MSJ-IRI 2005 Asymptotic Analysis and Singularities, Sendai, Japan,
Tohoku University, February 2005.

On the best constant of the Trudinger-Moser and the Gagliardo-Nirenberg
inequalities in various function spaces, 5th COE International Symposium,
Sendai, Japan, Tohoku University, February 2007.

On the best constant of the Trudinger-Moser and the Gagliardo-Nirenberg
inequalities in various function spaces, The 8th Northeastern Symposium on
Mathematical Analysis, Sendai, Japan, Tohoku University, February 2007.

Remarks on the Gagliardo-Nirenberg type inequality in the Besov and the
Triebel-Lizorkin spaces in the limiting case, Harmonic Analysis and its Appli-
cations at Tokyo, Tokyo, Japan, Tokyo Woman’s Christian University, March
2007.

Br´ezis-Gallou¨et-Wainger type inequalities in the H¨older spaces with double log-
arithmic terms and their sharp constants, Asia PDE mini-workshop at Sendai,
Sendai, Japan, Tohoku University, September 2007.

Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space
and BMO, Colloquium Lecture, Taipei, Taiwan, National Taiwan University,
May 2008.
4

The minimizer problem for the best constant of the Hardy-Sobolev type in-
equality in a bounded domain with a singularity on the boundary, 38th Annual
General Meeting of Mathematical Society, Hsinchu, Taiwan, National Tsing
Hua University, December 2008.

The minimizer problem for the best constant of the Hardy-Sobolev type in-
equality in a bounded domain with a singularity on the boundary, NCKU
Math colloquium, Tainan, Taiwan, National Cheng Kung University, January
2009.

Minimizing problems for the Hardy-Sobolev type inequality with the singu-
larity on the boundary, Harmonic Analysis and its Applications at Pohang,
Pohang, Korea, Pohang University of Science and Technology, November 2009.

Revisiting an idea of Br´ezis and Nirenberg, The 11th Northeastern Symposium
on Mathematical Analysis, Sapporo, Japan, Hokkaido University, February
2010.

On the Gagliardo-Nirenberg type inequalities in various function spaces, The
Seminar on Function Spaces, Jena, Germany, Jena University, October 2010.

Minimizing problems for the Hardy-Sobolev type inequality with the singular-
ity on the boundary, International Workshop on PDE, Concentration and
Related Topics in Nonlinear Problems, Sendai, Japan, Tohoku University,
November 2010.

On the existence of a positive solution for the elliptic equation involving the
multiple Hardy-Sobolev critical terms on the boundary, INDAM Meeting,“Ge-
ometric properties for Parabolic and Elliptic PDE’s”, Cortona, Italy, Palaz-
zone, June 2011.

Weighted Trudinger-Moser type inequality and its application, The 4th Japanese-
German international workshop on mathematical fluid dynamics, Tokyo, Japan,
Waseda University, November 2011.

On the sharp constant for the weighted Trudinger-Moser type inequality of the
scaling invariant form, 9th AIMS International Conference on Dynamical Sys-
tems, Differential Equations and Applications, Orlando, Florida, USA, Hyatt
Regency Grand Cypress, July 2012.

On a singular gap between Sobolev-Besov-Lorentz spaces in the limiting case,
Harmonic Analysis and its Applications at Tokyo 2012, Tokyo, Japan, Tokyo
Metropolitan University, November 2012.
5

Logarithmic Hardy inequalities on Sobolev-Lorentz-Zygmund spaces in the
limiting case, 1st East Asian Conference in Harmonic Analysis and Applica-
tions, Seoul, Korea, Seoul National University, October 2013.

Optimal embeddings on critical Sobolev-Lorentz-Zygmund spaces, The 15th
Northeastern Symposium on Mathematical Analysis, Sapporo, Japan, Hokkaido
University, February 2014.

Optimal embeddings on critical Sobolev-Lorentz-Zygmund spaces, Kyoto University-
Chung-Ang University Symposium, On Nonlinear Partial Differential Equa-
tions, Takayama, Japan, Takayama Shimin Bunka Kaikan, March 2014.

Optimal embeddings on Sobolev-Lorentz-Zygmund type spaces, The 10th AIMS
Conference on Dynamical Systems, Differential Equations and Applications,
Madrid, Spain, Universidad Aut´onoma de Madrid, July 2014.

Maximizing problems associated with Trudinger-Moser type inequality on the
whole space, RISM WORKSHOP, Optimal Inequalities and PDE, Varese,
Italy, Villa Toeplitz, December 2014.

The limiting case of Sobolev embeddings on critical Sobolev-Lorentz-Zygmund
spaces, 1110th AMS Meeting, Geometric Inequalities and Nonlinear Partial
Differential Equations, Las Vegas, Nevada, USA, University of Nevada, April
2015.

On maximizing problems associated with Trudinger-Moser type inequalities on
the whole space, Beijing, China, Beijing Normal University, November 2015.

Scaling invariant Hardy inequalities of multiple logarithmic type on the whole
space, Tokyo, Japan, Waseda University, November 2015.

On the maximizing problem associated with Trudinger-Moser type inequali-
ties, Bifurcations and Asymptotic Analysis of Solutions of Nonlinear Models
(Special Session 21 of AIMS Conference 2016), Orlando, Florida, USA, Hyatt
Regency Hotel, July 2016.

On the maximizing problems associated with Trudinger-Moser type inequali-
ties in the whole space, International Workshop on Harmonic Analysis and its
Applications in Beijing 2016, Beijing, China, Beihang University, September
2016.

On the maximizing problems associated with Trudinger-Moser type inequal-
ities in the whole space, Korea-Japan International Workshop of Nonlinear
6
Partial Differential Equations, Aza Toyako Onsen 7-1, Soubetsu-cho, Usu-gun,
Hokkaido, Japan, Toya Sun Palace, November 2016.

On the existence of maximizers for inhomogeneous Trudinger-Moser type in-
equalities on the whole space, 5th Italian-Japanese Workshop on Geometric
Properties of Parabolic and Elliptic PDEs, Osaka, Japan, Osaka City Univer-
sity, May 2017.
国内学会・シンポジウム等における発表
(口頭発表, 以下すべて査読なし)

The upper bound of the best constant of Trudinger-Moser inequality and its
applications to Gagliardo-Nirenberg inequality, 数理研研究集会“変分問題と
その周辺”, 京都大学, 2004 年6 月.

The upper bound of the best constant of Trudinger-Moser inequality and its
applications to Gagliardo-Nirenberg inequality, 数理研研究集会“調和解析学
と非線形偏微分方程式”, 京都大学, 2004 年7 月.

The upper bound of the best constant of Trudinger-Moser inequality and its
applications to Gagliardo-Nirenberg inequality, 第29 回偏微分方程式論札幌シ
ンポジウム, 北海道大学, 2004 年8 月.

The upper bound of the best constant of Trudinger-Moser inequality and its
applications to Gagliardo-Nirenberg inequality, 日本数学会函数方程式論分科
会, 北海道大学, 2004 年9 月.

Sobolev’s imbedding theorem in the limiting case with Lorentz space and
BMO, 第2 回数学総合若手研究集会, 北海道大学, 2006 年2 月.

Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space
and BMO, 実解析学シンポジウム2006, 弘前大学, 2006 年10 月.

Besov 空間やTriebel-Lizorkin 空間におけるGagliardo-Nirenberg 型補間不等式
の臨界ケースについて, 応用数学セミナー, 東北大学, 2006 年12 月.

Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space
and BMO, 調和解析セミナー, 大阪教育大学, 2006 年12 月.

Besov 空間やTriebel-Lizorkin 空間におけるGagliardo-Nirenberg 型補間不等式
の臨界ケースについて, 日本数学会函数方程式論分科会, 埼玉大学, 2007 年3
月.
7

Br´ezis-Gallou¨et-Wainger type inequalities in the H¨older spaces with double
logarithmic terms and their sharp constants, 実解析学シンポジウム2007, 大
阪教育大学, 2007 年10 月.

Br´ezis-Gallou¨et-Wainger inequality with a double logarithmic term on a bounded
domain and its sharp constants, 数理解析小研究集会, 首都大学東京, 2008 年3
月.

The minimizer problem for the best constant of the Hardy-Sobolev type in-
equality in a bounded domain with a singularity on the boundary, Nonlinear
PDE Workshop at Sendai, 東北大学, 2008 年11 月.

The minimizer problem for the best constant of the Hardy-Sobolev type in-
equality in a bounded domain with a singularity on the boundary, 日本数学
会函数方程式論分科会, 東京大学, 2009 年3 月.

境界に特異点を持つHardy-Sobolev 型不等式に対する最小化問題について, 実
解析学シンポジウム2009, 城西大学, 2009 年10 月.

Minimizing problems for the Hardy-Sobolev type inequality with the singular-
ity on the boundary, 数理研研究集会“変分問題の展開-幾何学的勾配流と臨界
点理論の新潮流”, 京都大学, 2010 年6 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev and the Sobolev-Hardy critical terms, 数理研研究集会“調和解析
と非線形偏微分方程式”, 京都大学, 2010 年7 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, NLPDE seminar, 京都大学, 2010 年7 月.

2 種のSobolev-Hardy 型臨界項を含む楕円型方程式に対する正値解の存在につ
いて, 大阪市立大学数学教室談話会, 大阪市立大学, 2010 年8 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, 数理解析セミナー, 首都大学東京, 2010 年9
月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, 日本数学会函数方程式論分科会, 名古屋大
学, 2010 年9 月.

Remarks on the critical Besov space and its embedding into weighted Besov-
Orlicz spaces, 日本数学会実函数論分科会, 名古屋大学, 2010 年9 月.
8

Remarks on the critical Besov space and its embedding into weighted Besov-
Orlicz spaces, 解析セミナー, 神戸大学, 2010 年10 月.

臨界指数を持つ種々の関数空間上のGagliardo-Nirenberg 型補間不等式につい
て, 奈良女子大学数学教室PDE セミナー, 奈良女子大学, 2010 年10 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, 微分方程式セミナー, 大阪大学, 2010 年10 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, 応用数学セミナー, 東北大学, 2010 年11 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, 愛媛大学解析セミナー, 愛媛大学, 2010 年
11 月.

Remarks on the critical Besov space and its embedding into weighted Besov-
Orlicz spaces, 第92 回神楽坂解析セミナー, 東京理科大学, 2010 年11 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, 第3 回仙台楕円型・放物型微分方程式研究
集会, 東北大学, 2010 年12 月.

The existence of positive solutions to the semilinear elliptic equation involving
the Sobolev-Hardy critical terms, 第8 回浜松偏微分方程式研究集会, 静岡大学,
2010 年12 月.

Minimizing problems for the Hardy-Sobolev type inequality with the singular-
ity on the boundary, 第521 回応用解析研究会, 早稲田大学, 2011 年1 月.

臨界Sobolev 空間の最適な局所特異性に関して, 信州大学談話会, 信州大学,
2011 年1 月.

Sobolev-Hardy 型臨界項を含む半線形楕円型方程式の正値解の存在について,
名古屋大学微分方程式セミナー, 名古屋大学, 2011 年1 月.

On the optimal singularity of the critical Sobolev space and a related Sobolev
type inequality with a logarithmic weight, 日本数学会実函数論分科会, 早稲田
大学, 2011 年3 月.

On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey
space, 偏微分方程式セミナー, 北海道大学, 2011 年6 月.
9

臨界Sobolev-Morrey 空間上のGagliardo-Nirenberg 型補間不等式とその応用,
解析ゼミ, 埼玉大学, 2011 年6 月.

On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey
space, ハーディー空間などに関する最近の研究について, 東京大学, 2011 年9
月.

重み付きMoser-Trudinger 型不等式の最良定数について, 日本数学会函数方程
式論分科会, 信州大学, 2011 年9 月.

重み付きTrudinger-Moser 型不等式の最良定数に関して, 解析学火曜セミナー,
東京大学, 2011 年10 月.

重み付きTrudinger-Moser 型不等式の最良定数とその応用, 九州関数方程式セ
ミナー, 福岡大学セミナーハウス, 2011 年11 月.

重み付きTrudinger-Moser 型不等式とその応用, 微分方程式の総合的研究, 東
京大学, 2011 年12 月.

臨界Sobolev-Lorentz 空間の最適な局所特異性について, 調和解析セミナー, 大
阪大学, 2011 年12 月.

Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz
spaces, 非線形偏微分方程式研究所ワークショップ“Workshop on Nonlinear
Partial Differential Equations and Harmonic Analysis”
, 早稲田大学, 2012 年1
月.

スケール不変なTrudinger-Moser 型不等式に付随する最大化問題について, 第
19 回応用解析研究会シンポジウム, 早稲田大学, 2012 年3 月.

多重Hardy 型臨界項を含む楕円型方程式の正値解の存在について, 発展方程式
シンポジウム, 東海大学, 2012 年3 月.

種々の関数空間における臨界型Sobolev 不等式について, 日本数学会実函数論
分科会(特別講演), 東京理科大学, 2012 年3 月.

臨界Sobolev 空間における対数型Hardy の不等式について, 第15 回岐阜数理
科学セミナー, 岐阜大学, 2012 年4 月.

臨界Sobolev 空間における対数型Hardy の不等式について, 南大阪応用数学セ
ミナー, 大阪市立大学, 2012 年4 月.

臨界Sobolev 空間における対数型Hardy の不等式について, 微分方程式セミ
ナー, 名古屋大学, 2012 年5 月.
10

臨界Sobolev 空間における対数型Hardy の不等式について, 熊本大学応用解析
セミナー, 熊本大学, 2012 年5 月.

Remarks on logarithmic Hardy inequality in critical Sobolev-Lorentz spaces,
京都大学NLPDE セミナー, 京都大学, 2012 年7 月.

臨界Sobolev-Lorentz 空間を特徴付ける種々の不等式について, 第4 回調和解
析駒場セミナー, 東京大学, 2012 年7 月.

臨界Sobolev-Lorentz-Zygmund 空間上の2 重対数型Hardy の不等式について,
愛媛大学解析セミナー, 愛媛大学, 2013 年5 月.

Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz
spaces, 調和解析と非線形偏微分方程式RIMS 研究集会, 京都大学, 2013 年7
月.

Logarithmic Hardy inequalities on Sobolev-Lorentz-Zygmund spaces in the
limiting case, 日本数学会実函数論分科会, 愛媛大学, 2013 年9 月.

臨界空間上の対数型Hardy の不等式について, 三大学偏微分方程式セミナー,
中央大学, 2013 年10 月.

Maximizing problems associated with Trudinger-Moser type inequalities in the
whole space, 第14 回金沢解析セミナー, 金沢大学, 2014 年5 月.

Maximizing problems associated with Trudinger-Moser type inequalities in the
whole space, 第580 回応用解析研究会, 早稲田大学, 2014 年5 月.

Maximizing problems associated with Trudinger-Moser type inequalities in the
whole space, 第21 回なかもず解析セミナー, 大阪府立大学, 2014 年7 月.

Optimal embeddings on Sobolev-Lorentz-Zygmund spaces, 第53 回実函数論・
函数解析学合同シンポジウム, 学習院大学, 2014 年9 月.

Br´ezis-Gallou¨et-Wainger inequality of multiple logarithmic type, 調和解析セ
ミナー, ヒルズサンピア山形, 2014 年12 月.

Trudinger-Moser 型不等式に付随する最大化問題について, 数理物理に現れる
偏微分方程式研究会, 三五郎, 2015 年1 月.

全空間上のTrudinger-Moser 型不等式と関連する種々の臨界不等式について,
第606 回応用解析研究会, 早稲田大学, 2015 年6 月.

全空間におけるTrudinger-Moser 型不等式に付随した最大化問題について, 大
阪大学数学教室微分方程式セミナー, 大阪大学, 2016 年1 月.
11

全空間におけるTrudinger-Moser 型不等式に付随した最大化問題について, 北
海道大学月曜解析セミナー, 北海道大学, 2016 年6 月.

Existence and non-existence of maximizers for the Moser-Trudinger inequali-
ties of the inhomogeneous type, 熊本大学応用解析セミナー, 熊本大学, 2016 年
12 月.

全空間におけるTrudinger-Moser 型不等式に付随した最大化問題について, 愛
媛大学第１５１回解析セミナー, 愛媛大学, 2017 年1 月.

対数型Caffarelli-Kohn-Nirenberg の不等式について, 数理研研究集会“ 関数
空間の構造とその周辺”, 京都大学, 2017 年2 月.

Vanishing-concentration-compactness alternative for critical Sobolev embed-
ding with a general integrand, 微分方程式の総合的研究, オンライン(Zoom を
使用), 2020 年12 月.
主催研究集会

Geometric Functional Inequalities and Applications to PDEs (Special Session
119 of AIMS Conference 2016), Orlando, Florida, USA, Hyatt Regency Hotel,
July 4-5, 2016.

RIMS 共同研究「実解析及び変分解析を用いた関数不等式に付随する偏微分方
程式の研究」, 京都大学数理解析研究所, 2015 年3 月9 日-3 月12 日.
特許等

2003 年度川井数理科学財団修士論文川井賞, 2004 年3 月.
業績題目: Trudinger 型不等式の最良定数について

2011 年度大阪市立大学数学研究会特別賞, 2012 年2 月.
業績題目: 種々の関数不等式の導出およびその偏微分方程式への応用

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