- 2018 - 2020 楕円型偏微分方程式に対するポテンシャル論的研究
- 2015 - 2017 Potential theoretic study for elliptic partial differential equations
- 2012 - 2014 Potential theoretic study for elliptic partial differential equations
- 2008 - 2012 Research on potential problems from various aspects
- 2009 - 2011 Potential theoretic study of elliptic partial differential equations
- 2009 - 2011 Study on the problem posing activity in the mathematics education
- 2008 - 2011 Potential theoretical research for nonlinear partial differential equations
- 2007 - 2008 Potential theoretic study of Sobolev functions
- 2006 - 2008 Analyses of function spaces of solutions of a parabolic equation and operators on these spaces
- 2006 - 2008 Study on the design of broadening mathematical thinking in the mathematics education
- 2005 - 2008 New development of geometric function theory focused on conformal invariants
- 2005 - 2007 変動指数をもつ関数空間の研究
- 2004 - 2005 楕円型偏微分方程式の解の研究
- 2002 - 2005 Potential Analysis for Sobolev functions
- 2002 - 2003 Study of integral operators on function spaces.
- 1998 - 1999 Potential the Oretic study on quasi-regular mappings
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