Horiuchi Toshio
Professor
Mathematics and informatics Course
Ibaraki University
Japan
Biography
1985-1986 Sweden Institut Mittag-Leffler Imbedding theorems for weighted Sobolev spaces 2. 2001-2002 Sweden Chalmers University (guest researcher) Nonlinear elliptic PDE 3. 2007-2008 Sweden Chalmers University (guest researcher) Nonlinear elliptic PDE 3. 2017-2018 Sweden Chalmers University (guest researcher)(tentative) Nonlinear elliptic PDE
Research Interest
Partial Differential Equation real analysis harmonic analysis
Publications
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Toshio H (2015) Joint On radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for p=1. Math. J. Ibaraki Univ. 47: 49–63.
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Toshio H (2016) Joint Radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for p=1 Proc. Japan Acad. Ser. A Math. Sci. 92: 51–55.
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Toshio H (2016) the Caffarelli-Kohn-Nirenberg type inequalities and related topics.
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Toshio H(2016) Research paper (scientific journal) Joint Remarks on the strong maximum principle involvingp-Laplacian, Hiroshima Mathematical Journal 46: 3311-331.
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Toshio H (2006)Research paper (scientific journal) Joint Remarks on Kato’s inequality when Δp u is a measure, Mathematical Journal of Ibaraki University 48: 45-61.