Research Papers  by A.Tachikawa


1.    On interior regularity and Liouville's theorem for harmonic mappings,
        Manuscripta Math. 42 (1983) p.11--p.40. 

2.    Boundary regularity for minima of certain variational integrals,
  Tokyo J. Math. 7 (1984) p.147--p.156.

3.     Rotationally symmetric harmonic maps from a ball into a warped product manifold,
  Manuscripta Math. 53 (1985) p.235--p.254. 

4.     A regularity theorem for harmonic mapping,
  J. Reine Angew. Math. 377 (1987) p.1--p.11. 

5.    A non-existence result for harmonic mappings from $R^n$ into $H^n$ ,
  Tokyo J. Math. 11 (1988) p.311--p.316. 

6.    Harmonic mappings from Rn into an Hadamard manifold,
  J. Math. Soc. Japan  42 (1990) p.147--p.153. 

7.     Harmonic maps from a Riemannian manifold with a pole into an Hadamard manifold with negative sectional curvatures,
  Manuscripta Math.  74 (1992) p.69--p.81. 

8.     Nonexistence results for harmonic maps between noncompact complete Riemannian manifolds,
        (with Kazuo AKUTAGAWA )
  Tokyo J. Math.  16 (1993) p.131--p.145. 

9.     Harmonic maps of unbounded convex polygons in the hyperbolic plane,
   (with Kazuo AKUTAGAWA, and Seiki NISHIKAWA)
  Geometry and its Applications, proceedings of the workshop in honor of Morio Obata,
   ed. by M.Kanai, T.Nagano, Y.Maeda & H.Omori, World Scientific (1993) p.17--p.19. 

10.    A variational approach to constructing weak solutions of semilinear hyperbolic systems,
   Adv. Math. Sci. Appl.   4 (1994) p.93--p.103. 

11.    Existence and asymptotic behavior of weak solutions to strongly damped semilinear hyperbolic system,
   (with  Takeyuki NAGASAWA)
   Hokkaido Math. J.  24 (1995) p.387--p.405. 

12.    Existence and asymptotic behavior of weak solutions to semilinear hyperbolic systems with damping terms,
   (with Takeyuki NAGASAWA)
   Tsukuba J. Math.  20 (1996), p.51--p.64. 

13.    Weak solutions of a semilinear hyperbolic system on a nondecreasing domain,
   (with Takeyuki NAGASAWA)
   Math. Methods Appl. Sci. 19 (1996), 1303-1316. 

14.    Weak solutions for the evolution problems of harmonic maps on nondecreasing domains,
   GAKUTO International Series, Mathematical Science and Applications 10 Nonlinear Waves (1997), 475-480. 

15.    Weak solution to evolution problems of harmonic maps from noncompact manifolds.
    Rend. Mat. Appl. Serie VII   19 (1999), 353--366. 

16.     Blow-up solutions for ordinary differential equations associated to harmonic maps and its applications,
   (with Takeyuki NAGASAWA )
    J. Math. Soc. Japan  53  (2001), 485--500. 

17.    Existence and regularity results for harmonic maps with potential,
      Tokyo J. Math.  24 (2001)  195--204. 

18.    Existence and regularity results for some variational problems related to harmonic maps.
   Nonlinear Anal. 47 (2001) 1703--1714. 

19.    A regularity result for harmonic maps into a Finsler manifold.
      Cal. Var.  16 (2003) 217--224.  (Erratum, Calc. Var. 16 (2003), 225--226.)  

20.    On continuity of minimizers for certain quadratic functionals,
        (with Maria Alessandra Ragusa)
      J. Math. Soc. Japan 57 (3) (2005), 691--700. 

21.    Partial regularity of the minimizers of quadratic functionals with VMO coefficients.
       (with Maria Alessandra Ragusa)
      J. Lond. Math. Soc., II. Ser.  7 (3) (2005) 609--620.

22.    Regularity of minimizers of some variational integrals with discontinuity.
       
(with Maria Alessandra Ragusa)
        Z. Anal. Anwend.,  27 (2008), 469--482.


23.    Partial regularity results up to the boundary for harmonic maps into a
        Finsler manifold.  
       Ann. I. H. Poincar\'{e},  26 (2009) 1953--1970.
 

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