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Research Activity

Field of Study

Theory of Differential Equations

Subject of Study

非線形楕円型方程式の定性的研究 (differential equation, analysis, nonlinear)

Book / Paper

Academic Paper (Judged Full Paper):

1.Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa :
Quasilinear elliptic equations with slowly growing principal part and critical Orlicz-Sobolev nonlinear term,
Proceedings of the Royal Society of Edinburgh Section A Mathematics, Vol.139, 73-106, 2009.
(DOI: 10.1017/S0308210507000765,   Thomson Reuters: Web of Science™)
2.Nobuyoshi Fukagai and Kimiaki Narukawa :
On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems,
Annali di Matematica Pura ed Applicata, Vol.186, No.3, 539-564, 2007.
(DOI: 10.1007/s10231-006-0018-x)
3.Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa :
Positive solutions of quasilinear elliptic equations with critical Orlicz-Sobolev nonlinearity on Rn.,
Funkcialaj Ekvacioj, Vol.49, No.2, 235-267, 2006.
(DOI: 10.1619/fesi.49.235,   Thomson Reuters: Web of Science™)
4.Nobuyoshi Fukagai and Kimiaki Narukawa :
Multiple positive solutions of nonlinear eigenvalue problems associated to a class of p-Laplacian like operators,
Communications in Contemporary Mathematics, Vol.5, No.5, 737-759, 2003.
5.Nobuyoshi Fukagai and Kimiaki Narukawa :
Bifurcation phenomena associated to a class of p-Laplacian like operators,
Manuscripta Mathematica, Vol.109, No.2, 175-201, 2002.
(DOI: 10.1007/s00229-002-0298-4,   Thomson Reuters: Web of Science™)
6.Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa :
Limit as p → ∞ of p-Laplace eigenvalue problems and L-inequarity of the Poincaré type,
Differential and Integral Equations, Vol.12, No.2, 183-206, 1999.
7.Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa :
Limit as p→∞ of p-Laplace eigenvalue problems and L-inequality of the Poincaré type,
Differential and Integral Equations, Vol.12, No.2, 183-206, 1999.
8.Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa :
A bifurcation problem of some nonlinear degenerate elliptic equations,
Advances in Differential Equations, Vol.2, No.6, 895-926, 1997.
9.Nobuyoshi Fukagai and Kimiaki Narukawa :
On a model equation of one-dimensional elasticity.,
Advances in Mathematical Sciences and Applications, Vol.6, No.1, 31-65, 1996.
10.Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa :
Bifurcation of radially symmetric solutions of degenerate quasilinear elliptic equations,
Differential and Integral Equations, Vol.8, No.7, 1709-1732, 1995.
11.Nobuyoshi Fukagai, Masayuki Ito and Kimiaki Narukawa :
Bifurcation of radially symmetric solutions of degenerate quasilinear elliptic equations,
Differential and Integral Equations, Vol.8, No.7, 1709-1732, 1995.
12.Nobuyoshi Fukagai and Kimiaki Narukawa :
Nonlinear eigenvalue problem for a model equation of an elastic surface.,
Hiroshima Mathematical Journal, Vol.25, No.1, 19-41, 1995.
13.Nobuyoshi Fukagai :
Nonnegative entire solutions of a class of degenerate semilinear elliptic equations,
Hiroshima Mathematical Journal, Vol.20, 385-394, 1990.
14.Nobuyoshi Fukagai and Kiyoshi Yoshida :
An existence theorem for positive solutions of degenerate semilinear elliptic equations,
Funkcialaj Ekvacioj, Vol.32, 357-364, 1989.
15.Nobuyoshi Fukagai :
Positive entire solutions of higher order semilinear elliptic equations,
Hiroshima Mathematical Journal, Vol.17, 561-590, 1987.
16.Nobuyoshi Fukagai, Takasi Kusano and Kiyoshi Yoshida :
Some remarks on the supersolution-subsolution method for superlinear elliptic equations,
Journal of Mathematical Analysis and Applications, Vol.123, 131-141, 1987.
17.Nobuyoshi Fukagai :
Positive entire solutions of semilinear elliptic equations,
Mathematische Annalen, Vol.274, 75-93, 1986.
18.Nobuyoshi Fukagai :
Existence and uniqueness of entire solutions of second order sublinear elliptic equations,
Funkcialaj Ekvacioj, Vol.29, 131-141, 1986.
19.Nobuyoshi Fukagai :
On decaying entire solutions of second order sublinear elliptic equations,
Hiroshima Mathematical Journal, Vol.14, 551-562, 1985.
20.Nobuyoshi Fukagai and Takasi Kusano :
Oscillation theory of first order functional-differential equations with deviating arguments,
Annali di Matematica Pura ed Applicata, Vol.136, 95-117, 1984.
21.Nobuyoshi Fukagai and Takasi Kusano :
On second order functional-differential equations and inequalities with deviating arguments,
Monatshefte für Mathematik, Vol.96, 107-118, 1983.

Academic Paper (Unrefereed Paper):

1.Nobuyoshi Fukagai, Masayuki Ito and Narukawa Kimiaki :
Variational methods in Orlicz-Sobolev spaces to quasilinear elliptic equations,
RIMS Kokyuroku, Vol.1405, 14-30, 2004.
(CiNii: 110001018925)

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • Free boundary problem with quasilinear elliptic equations (Project/Area Number: 22540229 )
  • Research on the structure of solutions for anisotropic quasilinear elliptic equations (Project/Area Number: 17540197 )
  • Quasilinear Elliptic Differential Equations of Critical Nonlinear Growth (Project/Area Number: 16540197 )
  • Research on quasilinear elliptic equations with rapidly growing principal parts (Project/Area Number: 14540211 )
  • Studies on Some Degenerate Quasilinear Elliptic Equations in Unbounded Domains (Project/Area Number: 11640207 )
  • Qualitative Theory of Quasilinear Degenerate Elliptic Differential Equations (Project/Area Number: 11640206 )
  • THE STUDY OF NON-LINEAR PHENOMENA BY THE ASYMPTOTIC ANALYSIS (Project/Area Number: 11640124 )
  • THE MATHEMATICAL ANALYSIS TO NON-LINEAR PHENOMENA THROUGH NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS (Project/Area Number: 09640276 )
  • Studies on the Structure of Solutions of Degenerate Quasilinear Elliptic Equations (Project/Area Number: 09640197 )
  • Qualitative Theory of Nonlinear Elliptic Differential Equations (Project/Area Number: 09640196 )
  • 場の量子論における超対称性の数学的研究 (Project/Area Number: 07640220 )
  • 連立非線形方程式系の大域における数値解法とその応用 (Project/Area Number: 06640315 )
  • 非線型・方程式の定性解析 (Project/Area Number: 05740102 )
  • 常微分方程式系の初期値問題の数値解析的研究 (Project/Area Number: 05640268 )
  • 常微分方程式系の概周期解の数値解析 (Project/Area Number: 04640236 )
  • 非線形振動と波動における概周期象の数理の研究 (Project/Area Number: 03640215 )
  • 非線形楕円型方程式の解析的理論 (Project/Area Number: 03640164 )
  • 連立非線形方程式系の大域における数値解法とその応用 (Project/Area Number: 02640175 )
  • 常微分方程式系の初期値問題の数値解析的研究 (Project/Area Number: 01540184 )
  • 非線形振動と波動の数値解析的研究 (Project/Area Number: 63540172 )
  • 非線形微分方程式の解の構造についての数学的研究 (Project/Area Number: 61540157 )
  • 微分方程式の解の定性的研究 (Project/Area Number: 61540114 )
  • Search by Researcher Number (90175563)