- 2017 - 2020 非線形楕円型方程式の固有値問題と逆問題の新展開
- 2013 - 2016 Search for new isoperimetric inequalities relating to elliptic equations
- 2013 - 2016 Study on variational problems, optimization problems and nonlinear partial differential equations
- 2013 - 2016 非線形楕円型方程式の固有値問題と逆問題の解析
- 2010 - 2012 Study of structures of solutions to variational problems, optimization problems and nonlinear partial differential equations
- 2009 - 2012 Asymptotic analysis and inverse problems of the nonlinear elliptic eigenvalue problems
- 2008 - 2012 Diffusion and Geometry of Domain
- 2006 - 2008 Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations
- 2005 - 2007 Variational study of nonlinear problems
- 2003 - 2005 Exceptional minimal sets of codimension two on flows
- 2002 - 2005 Potential Analysis for Sobolev functions
- 2002 - 2004 Study of nonlinear differential equations via variational methods
- 2002 - 2004 Asymptotic analysis of nonlinear ordinary differential equations and its applications
- 2002 - 2003 混合境界条件を伴う制限付き変分問題の新展開
- 2001 - 2003 Structure of solutions to the system of equations describing chemotactic aggregation of cellular slime molds
- 2000 - 2001 Research on the nonlinear elliptic eigenvalue problems by variational methods
- 2000 - 2001 Asymptotic analysis of ordinary differential equations, and its application to partial differential equations
- 1999 - 2001 Variational study of nonlinear diffential equations
- 1998 - 1999 Studies on Eigenvalue Problems of Nonlinear Elliptic Equations
- 1998 - 1999 Brownian Motion and Nonlinear Boundary Value Problems
- 1998 - 1999 Potential the Oretic study on quasi-regular mappings
- 1997 - 1998 Qualitative studies of solutions to elliptic equations in unbounded domains
- 1997 - 1998 Structure of solutions to the differential equations arising in natural phenomina
- 1997 - 1998 THE EXPLICIT EXPRESSION OF C FUNCTION ON SEMISIMPLE LIE GROUPS AND ITS APPLICATION
- 1996 - 1996 微分方程式の解の漸近的性質
- 1995 - 1995 統計モデルに基づく画像のスムージングとエッジング
- 1994 - 1994 非線形楕円型固有値問題の研究
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