## Technical Reports

All communications are to be sent to:
Editors of Technical Reports

Division of Mathematical and Information Sciences

Faculty of Integrated Arts and Sciences

Hiroshima University, Higashi-Hiroshima 739-8521, Japan

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**117. Ken-ich Kamo and Hiroyuki Usami,** Asymptotic forms of weakly increasing positive solutions of
quasilinear ordinary differential equations,
February, 2007.
Tr117.pdf

**116. Ken-ich Kamo and Hiroyuki Usami,** Asymptotic forms of positive solutions of
quasilinear ordinary differential equations with singular nonlinearities,
September, 2006.
Tr116.pdf

**115. Yoshio Agaoka and Eiji Kaneda,** Rigidity of the canonical isometric
imbedding of the Hermitian symmetric space $Sp(n)/U(n)$, September 2006.
Tr115.pdf

**114. Tomomitsu Teramoto and Hiroyuki Usami,** Oscillation theorems of quasilinear elliptic
equations with arbitrary nonlinearities, March 2006.
Tr114.pdf

**113. Yoshio Agaoka,** An example of convex heptagon with Heesch number one, November 2005.
Tr113.dvi

**112. Hiroki Sumida-Takahashi,** Computation of the $p$-part of the ideal class group of certain real abelian field, September 2005.
Tr112.pdf
Tr112.ps

**111. Yoshio Agaoka and Eiji Kaneda, ** Rigidity of the canonical isometric imbedding of the symplectic group $Sp(n)$, August 2005.
Tr111.pdf
Tr111.ps

**110. Humio Ichimura and Hiroki Sumida-Takahashi, ** Stickelberger ideals of conductor $p$ and its application, May 2005.
Tr110.pdf
Tr110.ps

**109. Yoshihiro Mizuta and Tetsu Shimomura, ** Vanishing exponential integrabilities for Riesz potentials of functions in Orlicz classes, May 2005.
Tr109.pdf
Tr109.ps

**108. Yoshio Agaoka and Eiji Kaneda, ** A lower bound for the class number of $P^n(\mathbf{C})$ and $P^n(\mathbf{H})$, January 2005.
Tr108.pdf
Tr108.ps

**107. Yoshihiro Mizuta and Tetsu Shimomura, ** Maximal functions, Riesz potentials and Sobolev's inequality in generalized Lebesgue spaces, November 2004.
Tr107.pdf

**106. Yoshihiro Mizuta and Tetsu Shimomura, ** Sobolev's inequality for Riesz potentials with variable exponent satisfying the log-H\"{o}lder condition at infinity, November 2004.
Tr106.pdf

**105. Yoshio Agaoka,** Decomposability of polynomial valued 2-forms,
October 2004.
Tr105.dvi
Tr105.pdf
Tr105.ps

**104. Hiroki Sumida-Takahashi,** The Iwasawa invariants and the higher $K$-groups associated to real quadratic fields, June 2004.
Tr104.pdf
Tr104.ps

**103. Yoshio Agaoka,** Generating functions of Littlewood-Richardson coefficients,
April 2004.
Tr103.dvi
Tr103.pdf
Tr103.ps

**102. Yoshio Agaoka and Eiji Kaneda,** Rigidity of the canonical isometric imbedding of the quaternion projective plane $P^2(H)$, April 2004.
Tr102.dvi
Tr102.pdf
Tr102.ps

**101. Toshihide Futamura, Yoshihiro Mizuta and Tetsu Shimomura, **Sobolev embeddings for variable exponent Riesz potentials on metric spaces, February 2004.
Tr101.pdf

**100. Toshihide Futamura and Yoshihiro Mizuta, **Continuity of weakly monotone Sobolev
functions of variable exponent, January 2004.
Tr100.pdf

**99. Toshihide Futamura, Yoshihiro Mizuta and Tetsu Shimomura, **Sobolev embeddings for Riesz potential space of variable exponent, January 2004.
Tr99.pdf

**98. Toshihide Futamura and Yoshihiro Mizuta, **Continuity properties of Riesz potentials for functions in $L^{p(\cdot)}$ of variable exponent, January 2004.
Tr98.pdf

**97. Andrzej Bi\'s, Hiromichi Nakayama and Pawe\l Walczak, **Locally connected exceptional minimal sets of surface homeomorphisms, May 2003.
Tr97.dvi.gz
Tr97.dvi(+fig7exc.eps)
Tr97.pdf.gz
Tr97.pdf
Tr97.ps.gz
Tr97.ps

**
96. Yoshio Agaoka and Eiji Kaneda, **Rigidity of the canonical isometric imbedding of the Cayley projective
plane $P^2(\mathbold{Cay})$, April 2003. Tr96.dvi.gz
Tr96.dvi
Tr96.pdf.gz
Tr96.pdf
Tr96.ps.gz
Tr96.ps

95. Yoshio Agaoka, Decomposition formulas of the plethysms $\{AB\}\otimes \{2\}$ and $\{AB\}\otimes \{1^2\}$, January 2003.
Tr95.dvi.gz
Tr95.dvi
Tr95.pdf.gz
Tr95.pdf
Tr95.ps.gz
Tr95.ps

**94.
Yoshio Agaoka and Eiji Kaneda,** Local isometric imbeddings of $P^2(H)$ and $P^2(Cay)$, October 2002.
Tr94.dvi.gz
Tr94.dvi
Tr94.pdf.gz
Tr94.pdf
Tr94.ps.gz
Tr94.ps

**93.
Tomomitsu Teramoto,** On nonnegative radial entire solutions of second order quasilinear elliptic systems, September 2002.

**92.
Hiroki Sumida,** Computation of Iwasawa $\nu$-invariants of certain real abelian fields, August 2002.
Tr92.ps.gz
Tr92.ps
Tr92.dvi.gz
Tr92.dvi

**91.
Yoshio Agaoka,** Decomposition formulas of the plethysm $\{m\}\otimes\{\mu\}$ with $|\mu|=3$, May 2002.
Tr91.ps.gz
Tr91.ps
Tr91.dvi.gz
Tr91.dvi

**90.
Yoshio Agaoka and Eiji Kaneda,** Lower bounds for the curvature invariant $p(G/K)$ associated with Riemannian symmetric spaces, December 2001.
Tr90.ps.gz
Tr90.ps
Tr90.dvi.gz
Tr90.dvi

**89.
Ken-ichi Kamo and Hiroyuki Usami,** Oscillation theorems for fourth-order quasilinear ordinary differential equations, December 2001.

**88.
Ken-ichi Kamo,** Asymptotic equivalence for positive decaying solutions of quasilinear ordinary differential equations and its application to elliptic problems, December 2001.

**87.
Tomomitsu Teramoto,** On positive radial entire solutions of second order quasilinear elliptic systems, November 2001.

**86.
Yukako Ueno and Yoshio Agaoka,**
Examples of spherical tilings by congruent quadrangles, September 2001.
Tr86.ps.gz
Tr86.ps
Tr86.dvi.gz
Tr86.dvi

**85.
Yukako Ueno and Yoshio Agaoka,**
Classification of tilings of the 2-dimensional sphere by congruent triangles, September 2001.
Tr85.ps.gz
Tr85.ps
Tr85.dvi.gz
Tr85.dvi

**84.
Tomomitsu Teramoto,** On nonnegative entire solutions of second order semilinear elliptic systems, June 2001.

**83.
Tomomitsu Teramoto and Hiroyuki Usami,** A Liouville type theorem for semilinear elliptic systems, April 2001.

**82.
Humio Ichimura and Hiroki Sumida,** A note on integral bases of unramified cyclic extensions of prime degree, II, October 2000.
Tr82.ps.gz
Tr82.ps
Tr82.dvi.gz
Tr82.dvi

**81.
Tetsutaro Shibata,** Precise asymptotic formulas for semilinear eigenvalue problems, October 2000.

**80.
Yoshio Agaoka,** On the Gauss equation in the exterior algebra, August 2000.
Tr80.ps.gz
Tr80.ps
Tr80.dvi.gz
Tr80.dvi

**79.
Yoshio Agaoka and Eiji Kaneda,** Strongly orthogonal subsets in root systems, June 2000.
Tr79.ps.gz
Tr79.ps
Tr79.dvi.gz
Tr79.dvi

**78.
Tetsutaro Shibata,** Precise spectral asymptotics for nonlinear Strum-Liouville problems, June 2000.

**77.
Hiroki Sumida,** Cyclotomic units, Gauss sums, and Iwasawa invariants of certain real abelian fields, May 2000.
Tr77.ps.gz
Tr77.ps
Tr77.dvi.gz
Tr77.dvi

**76.
Ken-ichi Kamo and Hiroyuki Usami,** Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations, February 2000.

**75.
Tomomitsu Teramoto,** Existence and nonexistence of positive radial entire solutions of second order quasilinear elliptic systems, February 2000.

**74.
Yoshio Agaoka,** An algorithm to determine the isomorphism classes of $4$-dimensional complex Lie algebras, January 2000.
Tr74.ps.gz
Tr74.ps
Tr74.dvi.gz
Tr74.dvi

**73. Hiroki Sumida,**
On capitulation of $S$-ideals in $\mathbf{Z}_p$-extensions, January 2000.

**72. Toshihide Futamura and Yoshihiro Mizuta,**
Existence of functions in weighted Sobolev spaces, November 1999.

**71. Toshihide Futamura, Kyoko Kishi and Yoshihiro Mizuta,**
A generalization of B\^ocher's theorem for polyharmonic functions, November 1999.

**70. Toshihide Futamura, Kyoko Kishi and Yoshihiro Mizuta,**
A generalization of the Liouville theorem to polyharmonic functions, November 1999.

**69. Yoshio Agaoka,**
Solutions and almost solutions of the Gauss equation of $SU(3)/SO(3)$, September 1999.
Tr69.pdf
Tr69.ps

**68. Masatsugu Mizukami, Manabu Naito and Hiroyuki Usami,**
Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations, April 1999.

** 67.
Hiroki Sumida,**
Isomorphism classes and adjoints of certain Iwasawa modules, March 1999.

** 66.
Yoshio Agaoka,**
On the variety of 3-dimensional Lie algebras, February 1999.
Tr66.pdf
Tr66.ps

** 65.
Tetsutaro Shibata,**
Interior transition layers of solutions to perturbed elliptic Sine-Gordon equation on an interval, November 1998.

** 64.
Yoshio Agaoka,**
Uniqueness of the left invariant symplectic structures on the affine Lie groups, October 1998.
Tr64.pdf
Tr64.ps

** 63.
Hiroki Sumida,**
The first layers of $\mathbf{Z}_p$-extensions and Greenberg's conjecture, September 1998.

**62.
Yoshio Agaoka,**
Left invariant Poisson structures on non-compact classical real simple Lie groups, July 1998.
Tr62.pdf
Tr62.ps

**61.
Tomomitsu Teramoto,**
Existence and nonexistence of positive
entire solutions of second order semilinear elliptic systems, April 1998.

**60.
Ken-ichi Kamo,**
Classification of the proper solutions of the Emden-Fowler Equation
$u''\pm (1+\varepsilon(t))e^{bt}|u|^\lambda {\rm sgn} u=0$, April 1998.

** 59.
Yoshio Agaoka,**
Combinatorial conjectures on the range of Young diagrams appearing in plethysms, February 1998.

** 58.
Hiroki Sumida,**
The first layers of $\mathbf{Z}_p$-extensions of certain abelian number fields, February 1998.

** 57.
Toshiaki Kusahara and Hiroyuki Usami,**
A barrier method for quasilinear ordinary differential equations of the curvature type, January 1998.

** 56.
Tetsutaro Shibata,**
The effect of variational framework on the spectral asymptotics for nonlinear elliptic two-parameter problems, August 1997.

** 55.
Tetsutaro Shibata,**
Spectral asymptotics of nonlinear elliptic multiparameter problems, April 1997.

** 54.
Hiroyuki Usami,**
Some oscillation theorems for a class of quasilinear elliptic equations, March 1997.

** 53.
Yoshio Agaoka and Eiji Kaneda,**
Local isometric imbeddings of symplectic groups, November 1996.

** 52.
Tetsutaro Shibata,**
Spectral asymptotics for nonlinear multiparameter ellipticeigenvalue problems with indefinite nonlinearities, October 1996.

** 51.
Yukako Ueno and Yoshio Agaoka, **
Tilings of the 2-dimensional sphere by congruent right triangles, October 1996.

** 50.
Yoshihiro Mizuta and Tetsu Shimomura, **
A limiting case of Sobolev's imbedding theorems for
Riesz potentials of functions in Orlicz spaces, July 1996.

** 49.
Tetsutaro Shibata, **
Multiparameter variational eigenvalue problems with
indefinite nonlinearity,
June 1996.

** 48.
Tadayoshi Adachi, **
Asymptotic observables for N-body Stark Hamiltonians,
May 1996.

** 47.
Hiroyuki Usami,**
Nonexistence of positive solutions of Neumann problems
for elliptic inequalities of the mean curvature type,
November 1995.

** 46.
Yoshio Agaoka,**
An algorithm to calculate plethysms of Schur
functions and the table up to total degree 16,
October 1995.

** 45.
T. Shohoji, M. Kuwabara, T. Sumiya and A. S. M. Shafiul Islam,**
A note on a relationship between adult weight and
age at peak weight velocity, September 1995.

** 44.
Yuki Naito and Hiroyuki Usami,**
Nonexistence results of positive entire solutions
for quasilinear elliptic inequalities,
June 1995.

** 43.
Yoshio Agaoka,**
A new example of almost flat affine
connections on the three dimensional sphere
with small covariant derivatives of curvature,
April 1995.

** 42.
Yoshio Agaoka,**
First order partial differential equations on the curvature of
3-dimensional Heisenberg bundles,
April 1995.

** 41.
Yoshihiro Mizuta,**
Behaviour at infinity of polyharmonic functions,
January 1995.

** 40.
Shigeki Matsumoto and Yoshihiro Mizuta,**
On the existence of tangential limits of monotone BLD functions,
January 1995.

** 39.
Hiromichi Nakayama,**
On strongly Hausdorff flows,
January 1995.

** 38.
Manabu Naito, Yuki Naito and Hiroyuki Usami,**
Oscillation theory for semilinear elliptic equations
with arbitrary nonlinearities,
December 1994.

** 37.
Yuki Naito and Hiroyuki Usami,**
Entire solutions of the inequality
div$(A(|Du|)Du) \geq f(u)$,
December 1994.

** 36.
Yoshio Agaoka,**
Invariant subvarieties of the 3-tensor
space $C^2 \otimes C^2 \otimes C^2$,
October 1994.

** 35.
Yoshihiro Mizuta,**
Tangential limits of monotone Sobolev functions,
May 1994.

** 34.
Hiroyuki Usami,**
Nonexistence properties of positive solutions
and oscillation criteria for second order semilinear
elliptic inequalities,
May 1994.

** 33.
Shiroh Itoh,**
A note on Hilbert coefficients of integrally closed ideals,
March 1994.

** 32.
Tetsu Shimomura and Yoshihiro Mizuta,**
Continuity properties of Riesz potentials,
December 1993.

** 31.
Yoshio Agaoka,**
On the curvature of the homogeneous space
$U(n+1)/U(n)$,
November 1993.

** 30.
Hiroyuki Usami,**
A note on growth estimates for positive solutions
of nonlinear elliptic inequalities,
August 1993.

** 29.
Yoshio Agaoka, **
An example of almost flat affine connections
on the three dimensional sphere,
July, 1993.

** 28.
Hisao Kato, **
Chaotic continua of (continuum-wise) expansive
homeomorphisms and chaos in the sense of Li and Yorke,
May 1993.

** 27.
Toshihiro Kiso, Yoshihiro Mizuta and Tetsu Shimomura, **
A theorem of Hardy-\\
Littlewood for harmonic functions
satisfying H\"{o}lder's condition,
May 1993.

** 26.
Yoshihiro Mizuta, **
Integral representations and continuity
properties of Beppo Levi functions,
May 1993.

** 25.
Hiroyuki Usami, **
Asymptotic behavior of positive solutions of
singular Emden-Fowler type equations,
October 1992.

** 24.
Yoshio Agaoka, **
A table on codimension of local isometric
imbeddings of Riemannian symmetric spaces,
August 1992.

** 23.
Yoshihiro Mizuta, **
Hyperplane means of potentials,
July 1992.

** 22.
Yuki Naito and Kiyoshi Yoshida, **
On damped oscillation of solutions for some nonlinear
second order ordinary differential equations,
July 1992.

** 21.
Kusano Takasi, Akio Ogata and Hiroyuki Usami, **
On the oscillation of solutions of
second order quasilinear ordinary differential equations,
June 1992.

** 20.
Kusano Takasi, Akio Ogata and Hiroyuki Usami, **
Oscillation theory for a class of second order quasilinear
ordinary differential equations with application to partial
differential equations,
June 1992.

** 19.
Yasumasa Nishiura and Hiromasa Suzuki, **
Coalescence, repulsion,
and nonuniqueness for singular limit reaction diffusion systems,
May 1992.

** 18.
Hiroyuki Usami, **
Nonexistence of positive entire solutions for
elliptic inequalities of the mean curvature type,
April 1992.

** 17.
Kiyoshi Yoshida, **
On oscillation and decay of solutions for some
ordinary differential systems,
March 1992.

** 16.
Yoshihiro Mizuta, **
Boundary limits of polyharmonic functions in
Sobolev-Orlicz spaces,
October 1991.

** 15.
Hajime Ishihara, **
More on Markov's theorem,
September 1991.

** 14.
Atsutaka Kowata and Ryoko Wada, **
Zonal polynomials on the space of 3*3 positive definite
symmmetric matrices,
August 1991.

** 13.
Hisao Kato, **
Expansive homeomorphisms in continuum theory,
May 1991.

** 12.
Hiroyuki Usami, **
Positive solutions of singular Emden-Fowler type systems,
May 1991.

** 11.
Yoshihiro Mizuta, **
Continuity properties of potentials and Beppo-Levi-Deny
functions,
May 1991.

** 10.
Yoshio Agaoka and Eiji Kaneda, **
An estimate on the codimension of local isometric imbeddings
of compact Lie groups,
April 1991.

** 9.
Hajime Ishihara, **
Continuity properties in constructive mathematics,
January 1991.

** 8.
Hiroakira Ono, **
Logics of belief and belief sets - an approach
to autoepistemic logic,
December 1990.

** 7.
Shiroh Itoh, **
Coefficients of normal Hilbert polynomials,
December 1990.

** 6.
Yoshihiro Mizuta, **
Spherical means of Beppo-Levi-Deny functions,
December 1990.

** 5.
Yoshihiro Mizuta, **
Fine limits of potentials,
December 1990.

** 4.
Hiroakira Ono, **
Phase structures and quantales,
November 1990.

** 3.
Hajime Ishihara, **
Constructive existence of Minkowski functionals,
November 1990.

** 2.
Hajime Ishihara, **
Constructive existence of Minkowski functionals,
November 1990.

** 1.
Hajime Ishihara, **
Constructive existence of Minkowski functionals,
November 1990.