Watanabe Kohtaro 渡邉宏太郎

… Alternative Names

Researcher Number	30546057
Affiliation (Current)	2021: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群), 電気情報学群, 教授
Affiliation (based on the past Project Information) *help	2017 – 2019: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群), 電気情報学群, 教授 2016: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 電気情報学群, 教授 2014 – 2015: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, その他部局等, 教授 2013 – 2014: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 電気情報学群, 教授 2013: 防衛大学校, 電気情報学群, 准教授 2012: 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 電気情報学群, 准教授
Review Section/Research Field	Principal Investigator Basic analysis / Mathematical analysis / Basic Section 12020:Mathematical analysis-related Except Principal Investigator Global analysis
Keywords	Principal Investigator 一意性 / 最良定数 / 正値球対称解 / 定曲率空間 / p-ラプラス作用素 / 非線形微分方程式 / 球対称性 / 解の一意性 / ソボレフ不等式 / Pohozaev恒等式 … More Except Principal Investigator 関数方程式論 / 解析学 / 関数解析学 / 楕円型方程式 / 変分法 / 多重解 / 正値解 / 対称性 / 楕円幾何 / 双曲幾何 / 符号変化解 / 解の多重性 / Sobolevの臨界指数 / 変動指数 Less

定曲率空間における非線形楕円型方程式の正値球対称解の一意性および分岐構造の研究Principal InvestigatorOngoing
- Principal Investigator
  
  渡邉宏太郎
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
A study of the structure of the solutions of nonlinear elliptic equations in spaces of constant curvaturePrincipal Investigator
- Principal Investigator
  
  Kohtaro Watanabe
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
Refinement of analytic inequalities with geometric approachPrincipal Investigator
- Principal Investigator
  
  WATANABE Kohtaro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
Research on the existence of solutions of differential equations and their properties via functional analysis methods
- Principal Investigator
  
  SHIOJI Naoki
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Yokohama National University

All 2020 2019 2017 2016 2015 2014 2013 2012 2011

All Journal Article Presentation

[Journal Article] Uniqueness and nondegeneracy of positive radial solutions of div(ρ∇u) + ρ(-gu + hu^p) = 02016
- Author(s)
  N. Shioji, K. Watanabe
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 55
- DOI
  10.1007/s00526-016-0970-2
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25287025, KAKENHI-PROJECT-15K04973, KAKENHI-PROJECT-26400160
[Journal Article] The best constant of discrete Sobolev inequality on the C60 fullerene buckeyball2015
- Author(s)
  Y. Kametaka, A. Nagai, H. Yamagishi, K. Takemura, K. Watanabe
- Journal Title
  
  J. Phys. Soc. of Japan
  
  Volume: 84 Pages: 074004-074004
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04973
[Journal Article] 切頂正4,6,8面体上の離散ソボレフ不等式の最良定数2015
- Author(s)
  亀高惟侖，山岸弘幸，永井敦，渡辺宏太郎，武村一雄
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 25 Pages: 135-150
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04973
[Journal Article] Ｕｎｉｑｕｅｎｅｓｓ　ｏｆ　ｐｏｓitive solutions of Brezis-Nirenberg problem on Hn2015
- Author(s)
  N. Shioji, K. Watanabe
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 1 Pages: 261-270
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04973
[Journal Article] Sobolev inequality of free boundary value problem for (-1)^M(d/dx)^(2M)2015
- Author(s)
  K. Takemura, A. Nagai, Y. Kametaka, K. Watanabe, H. Yamagishi
- Journal Title
  
  Journal of Inequalities and Applications
  
  Volume: 2015 Pages: 1-20
- DOI
  10.1186/s13660-015-0568-9
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540199, KAKENHI-PROJECT-25400146, KAKENHI-PROJECT-25400210
[Journal Article] Radial symmetry of n-mode positive solutions for semilinear elliptic equations in a disc and its application to the Henon equation2014
- Author(s)
  Naoki Shioji and Kohtaro Watanabe
- Journal Title
  
  Topological methods in nonlinear analysis
  
  Volume: 43 Pages: 269-285
- URL
  https://www.tmna.ncu.pl/static/archives/vol-43-1.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540214
[Journal Article] Radial symmetry of n-mode positive solutions for semilinear elliptic equations in a disc and its applications to the Henon equation2014
- Author(s)
  N. Shioji, K. Watanabe
- Journal Title
  
  Topological Methods in Nonlinear Analysis
  
  Volume: 43 Pages: 269-285
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] Planar p-elastic curves and related generalized complete elliptic integrals2014
- Author(s)
  K. Watanabe
- Journal Title
  
  Kodai Math. J.
  
  Volume: 37 Pages: 453-474
- NAID
  130004949003
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] The best constant of Lp Sobolev inequality corresponding to Dirichlet-Neumann boundary value problem2014
- Author(s)
  H. Yamagishi, K. Watanabe, Y. Kametaka
- Journal Title
  
  Math. J. of Okayama Univ.
  
  Volume: 56 Pages: 145-155
- NAID
  120005359141
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] The best constant of Lp Sobolev inequality including j-th derivative corresponding to periodic and Neumann boundary value problem for (-1)M(d/dx)(2M)2014
- Author(s)
  H. Yamagishi, K. Watanabe
- Journal Title
  
  Tokyo J. of Math.
  
  Volume: 37 Pages: 485-501
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] The best constant of three kinds of the discrete Sobolev inequalities on the complete graph2014
- Author(s)
  H. Yamagishi, K. Watanabe, Y. Kametaka
- Journal Title
  
  Kodai Math. J.
  
  Volume: 37 Pages: 383-395
- NAID
  130004948998
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] The best constant of three kind of discrete Sobolev inequalities on regular polygon2013
- Author(s)
  H. Yamagishi, Y. Kametaka, K. Watanabe, A. Nagai, K. Takemura
- Journal Title
  
  Tokyo J. Math.
  
  Volume: 36 Pages: 253-268
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] A generalized Pohozaev identity and uniqueness of positive radial solutions of Δu+g(r)u+h(r)u^p=02013
- Author(s)
  Naoki Shioji and Kohtaro Watanabe
- Journal Title
  
  Journal of differential equations
  
  Volume: 255 Pages: 4448-4475
- DOI
  10.1016/j.jde.2013.08.017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540214, KAKENHI-PROJECT-25287025
[Journal Article] The best estimation corresponding to continuous model of Thomson cable2013
- Author(s)
  H. Yamagishi, Y. Kametaka, A. Nagai, K. Watanabe, K. Takemura
- Journal Title
  
  JSIAM Letters
  
  Volume: 5 Pages: 53-56
- NAID
  130003371123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] Uniqueness of positive radial solutions of Δu + g(r)u + h(r)u^<p> = 0 and its applications2013
- Author(s)
  Naoki Shioji and Kohtaro Watanabe
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1838 Pages: 64-70
- URL
  http://ci.nii.ac.jp/vol_issue/nels/AN00061013/ISS0000488976_ja.html
- Data Source
  KAKENHI-PROJECT-21540214
[Journal Article] A generalized Pohozaev inequality and uniqueness of positive radial solutions2013
- Author(s)
  N. Shioji, K. Watanabe
- Journal Title
  
  J. Differential Equations
  
  Volume: 255 Pages: 4448-4475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] The best constant of discrete Sobolev inequality corresponding to a bending problem of a string2012
- Author(s)
  H. Yamagishi, A. Nagai, K. Watanabe, K. Takemura, Y. Kametaka
- Journal Title
  
  Kumamoto J. of Math.
  
  Volume: 25 Pages: 1-15
- NAID
  110009930106
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] Sobolev type inequality of time-periodic boundary value problems for Heaviside and Thomson cables2012
- Author(s)
  Kazuo Takemura, Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai and Hiroyuki Yamagishi
- Journal Title
  
  Boundary Value Problems
  
  Volume: 2012/ 95 Pages: 1-15
- DOI
  10.1186/1687-2770-2012-95
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540148, KAKENHI-PROJECT-24540199
[Journal Article] Radial symmetry of positive solutions for semilinear elliptic equations in the unit ball via elliptic and hyperbolic geometry2012
- Author(s)
  Naoki Shioji and Kohtaro Watanabe
- Journal Title
  
  J. Differential Equations
  
  Volume: 252 Pages: 1392-1402
- DOI
  10.1016/j.jde.2011.10.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540214, KAKENHI-PROJECT-24540199
[Journal Article] The best constant of Lp Sobolev inequality corresponding to Neumann boundary value problem2012
- Author(s)
  Y. Oshime, H. Yamagishi, K. Watanabe
- Journal Title
  
  Hiroshima Math. J.
  
  Volume: 42 Pages: 293-299
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] Lyapunov type inequalies for 2Mth order equations under clamped-free boundary conditions2012
- Author(s)
  K. Watanabe, K. Takemura, Y. Kametaka, A. Nagai, H. Yamagishi
- Journal Title
  
  J. Inequalities and Appl.
  
  Volume: 2012 Pages: 242-242
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Journal Article] Lyapunov type inequality for the equation including 1-dim p-Laplacian2012
- Author(s)
  K. Watanabe
- Journal Title
  
  Math. Ineq. and Appl.
  
  Volume: 15 Pages: 657-662
- DOI
  10.7153/mia-15-58
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p-Laplacian2020
- Author(s)
  竹内慎吾，渡辺宏太郎
- Organizer
  日本数学会2020年度年会　函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18K03387
[Presentation] Korman-Ouyang-Tanaka型微分恒等式と半線型楕円型方程式の正値球対称解の一意性について2019
- Author(s)
  渡辺宏太郎
- Organizer
  RIMS共同研究「常微分方程式の手法による非線形問題の探究」
- Invited
- Data Source
  KAKENHI-PROJECT-18K03387
[Presentation] S^n上の薄い円環領域におけるBrezis-Nirenberg問題の非球対称な分岐解の構成について2017
- Author(s)
  渡辺宏太郎，塩路直樹
- Organizer
  日本数学会，函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-15K04973
[Presentation] 半線形楕円型方程式の正値球対称解の一意性と応用2017
- Author(s)
  渡辺宏太郎
- Organizer
  微分方程式の総合的研究，日本数学会，函数方程式論分科会
- Invited
- Data Source
  KAKENHI-PROJECT-15K04973
[Presentation] Bifurcation and symmetry breaking for Brezis-Nirenberg problem on S^n2017
- Author(s)
  渡辺宏太郎
- Organizer
  RIMS共同研究（公開型）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04973
[Presentation] Riemann zeta function, Bernoulli polynomials and the best constant of Sobolev inequality2017
- Author(s)
  Yoshinori Kametaka, Kohtaro Watanabe, Hiroyuki Yamagishi
- Organizer
  FSDM2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04973
[Presentation] n次元双曲空間上のBrezis-Nirenberg問題の正値解の一意性について2016
- Author(s)
  渡辺宏太郎，塩路直樹
- Organizer
  日本数学会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-17
- Data Source
  KAKENHI-PROJECT-15K04973
[Presentation] 2次元球面上のLp弾性閉曲線とflat-core解の存在について2015
- Author(s)
  渡辺　宏太郎，塩路　直樹
- Organizer
  日本数学会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] (-1)M(d/dx)(2M)の周期とノイマン境界条件に対応するLpソボレフ不等式の最良定数2015
- Author(s)
  山岸　弘幸，渡辺　宏太郎，押目　頼昌
- Organizer
  日本数学会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 2次元球面上のLp弾性閉曲線とflat-core解の存在について2014
- Author(s)
  渡辺　宏太郎，塩路　直樹
- Organizer
  RIMS 研究集会実領域における常微分方程式の定性的理論とその応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-11-04
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 楕円型方程式Δu+▽ρ▽u/ρ-gu+hu^p=0の正値球対称解の一意性とその非退化性について2014
- Author(s)
  塩路直樹渡辺宏太郎
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-21540214
[Presentation] (-1)M(d/dx)2Mのディリクレ・ノイマン境界値問題に対応するLpソボレフ不等式の最良定数2014
- Author(s)
  山岸弘幸，渡辺宏太郎，亀高惟倫
- Organizer
  日本数学会春季総合分科会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 楕円型方程式の正値球対称解の一意性とその非退化性について2014
- Author(s)
  塩路直樹，渡辺宏太郎
- Organizer
  日本数学会春季総合分科会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 楕円型方程式△u+▽ρ▽u/ρ一gu+hu^<p>=0の正値球対称解の一意性とその非退化性について2014
- Author(s)
  塩路直樹, 渡辺宏太郎
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-21540214
[Presentation] 完全ローカットフィルタとソボレフ不等式の最良定数2013
- Author(s)
  山岸弘幸，亀高惟倫，永井敦，渡辺宏太郎，武村一雄
- Organizer
  日本数学会2013年度年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 楕円型方程式Δu+g(r)u+h(r)u^p=0の正値球対称解の一意性とその応用について2013
- Author(s)
  塩路直樹，渡辺宏太郎
- Organizer
  日本数学会2013年度年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 楕円型方程式△u+g(r)u+h(r)u^<p>=0の正値球対称解の一意性とその応用について2013
- Author(s)
  塩路直樹, 渡辺宏太郎
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-21540214
[Presentation] 完全グラフにおける離散ソボレフ不等式の最良定数2013
- Author(s)
  山岸弘幸，渡辺宏太郎，亀高惟倫
- Organizer
  日本数学会2013年度年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 円板上の楕円型方程式のnモード正値解の球対称性とそのHenon方程式への応用2012
- Author(s)
  塩路直樹，渡辺宏太郎
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24540199
[Presentation] 円板上の楕円型方程式のnモード正値解の球対称性とそのHénon方程式への応用2012
- Author(s)
  塩路直樹, 渡辺宏太郎
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-21540214
[Presentation] 球面幾何-双曲幾何の半線形楕円型方程式の正値解の球対称性導出への応用について2011
- Author(s)
  渡辺宏太郎, 塩路直樹
- Organizer
  2011年度日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  信州大学(長野県)
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-21540214
[Presentation] 球面幾何-双曲幾何の半線形楕円型方程式の正値解の球対称性導出への応用について2011
- Author(s)
  渡辺宏太郎, 塩路直樹
- Organizer
  2011年度日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-21540214

1. SHIOJI Naoki (50215943)

# of Collaborated Projects: 4 results

# of Collaborated Products: 21 results
2. KAMETAKA Yoshinori (00047218)

# of Collaborated Projects: 2 results

# of Collaborated Products: 14 results
3. HIRANO Norimichi (80134815)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. TAMANO Kenichi (90171892)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 山岸弘幸 (10448053)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
6. TAKEMURA Kazuo

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
7. 永井敦

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Watanabe Kohtaro 渡邉 宏太郎

WATANABE Kohtaro 渡邉 宏太郎

Research Projects

Research Products

Co-Researchers

定曲率空間における非線形楕円型方程式の正値球対称解の一意性および分岐構造の研究Principal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A study of the structure of the solutions of nonlinear elliptic equations in spaces of constant curvaturePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Refinement of analytic inequalities with geometric approachPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on the existence of solutions of differential equations and their properties via functional analysis methods

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Uniqueness and nondegeneracy of positive radial solutions of div(ρ∇u) + ρ(-gu + hu^p) = 02016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The best constant of discrete Sobolev inequality on the C60 fullerene buckeyball2015

Author(s)

Journal Title

Data Source

[Journal Article] 切頂正4,6,8面体上の離散ソボレフ不等式の最良定数2015

Author(s)

Journal Title

Data Source

[Journal Article] Ｕｎｉｑｕｅｎｅｓｓ ｏｆ ｐｏｓitive solutions of Brezis-Nirenberg problem on Hn2015

Author(s)

Journal Title

Data Source

[Journal Article] Sobolev inequality of free boundary value problem for (-1)^M(d/dx)^(2M)2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Radial symmetry of n-mode positive solutions for semilinear elliptic equations in a disc and its application to the Henon equation2014

Author(s)

Journal Title

URL

Data Source

[Journal Article] Radial symmetry of n-mode positive solutions for semilinear elliptic equations in a disc and its applications to the Henon equation2014

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[Journal Article] The best constant of Lp Sobolev inequality corresponding to Dirichlet-Neumann boundary value problem2014

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[Journal Article] The best constant of Lp Sobolev inequality including j-th derivative corresponding to periodic and Neumann boundary value problem for (-1)M(d/dx)(2M)2014

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[Journal Article] The best constant of three kinds of the discrete Sobolev inequalities on the complete graph2014

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[Journal Article] The best constant of three kind of discrete Sobolev inequalities on regular polygon2013

Watanabe Kohtaro 渡邉宏太郎

WATANABE Kohtaro 渡邉宏太郎

[Journal Article] Ｕｎｉｑｕｅｎｅｓｓ　ｏｆ　ｐｏｓitive solutions of Brezis-Nirenberg problem on Hn2015