## 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

\¿‚ÌŽèˆø‚«
application.tex
cover1.tex
cover2.tex

**117. ‰Á–ÎŒ›ˆê and ‰F²”üL‰î,** Asymptotic forms of weakly increasing positive solutions of
quasilinear ordinary differential equations,
February, 2007.
Tr117.pdf

**116. ‰Á–ÎŒ›ˆê and ‰F²”üL‰î,** Asymptotic forms of positive solutions of
quasilinear ordinary differential equations with singular nonlinearities,
September, 2006.
Tr116.pdf

**115. ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ,** Rigidity of the canonical isometric
imbedding of the Hermitian symmetric space $Sp(n)/U(n)$, September 2006.
Tr115.pdf

**114. Ž›–{’qŒõ and ‰F²”üL‰î,** Oscillation theorems of quasilinear elliptic equations with arbitrary nonlinearities, March 2006.
Tr114.pdf

**113. ˆ¢‰ê‰ª–F•v,** An example of convex heptagon with Heesch number one,
November 2005.
Tr113.dvi

**112. ‹÷“c_Ž÷,** Computation of the $p$-part of the ideal class group of certain real abelian field, September 2005.
Tr112.pdf
Tr112.ps

**111. ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ, ** Rigidity of the canonical isometric imbedding of the symplectic group $Sp(n)$, August 2005.
Tr111.pdf
Tr111.ps

**110. Žs‘º•¶’j and ‹÷“c_Ž÷, ** Stickelberger ideals of conductor $p$ and its application, May 2005.
Tr110.pdf
Tr110.ps

**109. …“c‹`O and ‰º‘º“N, ** Vanishing exponential integrabilities for Riesz potentials of functions in Orlicz classes, May 2005.
Tr109.pdf
Tr109.ps

**108. ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ, ** A lower bound for the class number of $P^n(\mathbf{C})$ and $P^n(\mathbf{H})$, January 2005.
Tr108.pdf
Tr108.ps

**107. …“c‹`O and ‰º‘º“N, ** Maximal functions, Riesz potentials and Sobolev's inequality in generalized Lebesgue spaces, November 2004.
Tr107.pdf

**106. …“c‹`O and ‰º‘º“N, ** Sobolev's inequality for Riesz potentials with variable exponent satisfying the log-H\"{o}lder condition at infinity, November 2004.
Tr106.pdf

**105. ˆ¢‰ê‰ª–F•v,** Decomposability of polynomial valued 2-forms,
October 2004.
Tr105.dvi
Tr105.pdf
Tr105.ps

**104. ‹÷“c_Ž÷,** The Iwasawa invariants and the higher $K$-groups associated to real quadratic fields, June 2004.
Tr104.pdf
Tr104.ps

**103. ˆ¢‰ê‰ª–F•v,** Generating functions of Littlewood-Richardson coefficients,
April 2004.
Tr103.dvi
Tr103.pdf
Tr103.ps

**102. ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ,** Rigidity of the canonical isometric imbedding of the quaternion projective plane $P^2(H)$, April 2004.
Tr102.dvi
Tr102.pdf
Tr102.ps

**101. “ñ‘ºr‰p, …“c‹`O and ‰º‘º“N, **Sobolev embeddings for variable exponent Riesz potentials on metric spaces, February 2004.
Tr101.pdf

**100. “ñ‘ºr‰p and …“c‹`O, **Continuity of weakly monotone Sobolev
functions of variable exponent, January 2004.
Tr100.pdf

**99. “ñ‘ºr‰p, …“c‹`O and ‰º‘º“N, **Sobolev embeddings for Riesz potential space of variable exponent, January 2004.
Tr99.pdf

**98. “ñ‘ºr‰p and …“c‹`O, **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
Tr97.pdf.gz
Tr97.pdf
Tr97.ps.gz
Tr97.ps

**96. ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ,** 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.
ˆ¢‰ê‰ª–F•v,** 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. ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ,** 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.
Ž›–{’qŒõ,** On nonnegative radial entire solutions of second order quasilinear elliptic systems, September 2002.

**92.
‹÷“c_Ž÷,** Computation of Iwasawa $\nu$-invariants of certain real abelian fields, August 2002.
Tr92.ps.gz
Tr92.ps
Tr92.dvi.gz
Tr92.dvi

**91.
ˆ¢‰ê‰ª–F•v,** Decomposition formulas of the plethysm $\{m\}\otimes\{\mu\}$ with $|\mu|=3$, May 2002.
Tr91.ps.gz
Tr91.ps
Tr91.dvi.gz
Tr91.dvi

**90.
ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ,** 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.
‰Á–ÎŒ›ˆê and ‰F²”üL‰î,** Oscillation theorems for fourth-order quasilinear ordinary differential equations, December 2001.

**88.
‰Á–ÎŒ›ˆê,** Asymptotic equivalence for positive decaying solutions of quasilinear ordinary differential equations and its application to elliptic problems, December 2001.

**87.
Ž›–{’qŒõ,** On positive radial entire solutions of second order quasilinear elliptic systems, November 2001.

**86.
ã–ì—T‰ÀŽq and ˆ¢‰ê‰ª–F•v,** Examples of spherical tilings by congruent quadrangles, September 2001.
Tr86.ps.gz
Tr86.ps
Tr86.dvi.gz
Tr86.dvi

**85.
ã–ì—T‰ÀŽq and ˆ¢‰ê‰ª–F•v,** Classification of tilings of the 2-dimensional sphere by congruent triangles, September 2001.
Tr85.ps.gz
Tr85.ps
Tr85.dvi.gz
Tr85.dvi

**84.
Ž›–{’qŒõ,** On nonnegative entire solutions of second order semilinear elliptic systems, June 2001.

**83.
Ž›–{’qŒõ and ‰F²”üL‰î,** A Liouville type theorem for semilinear elliptic systems, April 2001.

**82.
Žs‘º•¶’j and ‹÷“c_Ž÷,** 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.
ŽÄ“c“O‘¾˜Y,** Precise asymptotic formulas for semilinear eigenvalue problems, October 2000.

**80.
ˆ¢‰ê‰ª–F•v,** On the Gauss equation in the exterior algebra, August 2000.
Tr80.ps.gz
Tr80.ps
Tr80.dvi.gz
Tr80.dvi

**79.
ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ,** Strongly orthogonal subsets in root systems, June 2000.
Tr79.ps.gz
Tr79.ps
Tr79.dvi.gz
Tr79.dvi

**78.
ŽÄ“c“O‘¾˜Y,** Precise spectral asymptotics for nonlinear Strum-Liouville problems, June 2000.

**77.
‹÷“c_Ž÷,** 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.
‰Á–ÎŒ›ˆê and ‰F²”üL‰î,**
Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations, February 2000.

**75.
Ž›–{’qŒõ,**
Existence and nonexistence of positive radial entire solutions of second order quasilinear elliptic systems, February 2000.

**74.
ˆ¢‰ê‰ª–F•v,** 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.
‹÷“c_Ž÷,**
On capitulation of $S$-ideals in $\mathbf{Z}_p$-extensions, January 2000.

**72.
“ñ‘ºr‰p and …“c‹`O,**
Existence of functions in weighted Sobolev spaces, November 1999.

**71.
“ñ‘ºr‰p, ŠÝ‹±Žq and …“c‹`O,**
A generalization of B\^ocher's theorem for polyharmonic functions, November 1999.

**70.
“ñ‘ºr‰p, ŠÝ‹±Žq and …“c‹`O,**
A generalization of the Liouville theorem to polyharmonic functions, November 1999.

**69.
ˆ¢‰ê‰ª–F•v,**
Solutions and almost solutions of the Gauss equation of $SU(3)/SO(3)$, September 1999.
Tr69.pdf
Tr69.ps

**68.
…ã‰ëŽk, “à“¡Šw and ‰F²”üL‰î,**
Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations, April 1999.

**67.
‹÷“c_Ž÷,**
Isomorphism classes and adjoints of certain Iwasawa modules, March 1999.

**66.
ˆ¢‰ê‰ª–F•v,**
On the variety of 3-dimensional Lie algebras, February 1999.
Tr66.pdf
Tr66.ps

**65.
ŽÄ“c“O‘¾˜Y,**
Interior transition layers of solutions to perturbed elliptic Sine-Gordon equation on an interval, November 1998.

**64.
ˆ¢‰ê‰ª–F•v,**
Uniqueness of the left invariant symplectic structures on the affine Lie groups, October 1998.
Tr64.pdf
Tr64.ps

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

**62.
ˆ¢‰ê‰ª–F•v,**
Left invariant Poisson structures on non-compact classical real simple Lie groups, July 1998.
Tr62.pdf
Tr62.ps

**61.
Ž›–{’qŒõ,**
Existence and nonexistence of positive
entire solutions of second order semilinear elliptic systems, April 1998.

**60.
‰Á–ÎŒ›ˆê,**
Classfication 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.
ˆ¢‰ê‰ª–F•v,**
Combinatorial conjectures on the range of Young diagrams appearing in plethysms, February 1998.

**58.
‹÷“c_Ž÷,**
The first layers of $\mathbf{Z}_p$-extensions of certain abelian number fields, February 1998.

**57.
‘Œ´r–¾ and ‰F²”üL‰î,**
A barrier method for quasilinear ordinary differential equations of the curvature type, January 1998.

**56.
ŽÄ“c“O‘¾˜Y,**
The effect of variational framework on the spectral asymptotics for nonlinear elliptic two-parameter problems, August 1997.

**55.
ŽÄ“c“O‘¾˜Y,**
Spectral asymptotics of nonlinear elliptic multiparameter problems, April 1997.

**54.
‰F²”üL‰î,**
Some oscillation theorems for a class of quasilinear elliptic equations, March 1997.

**53.
ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ,**
Local isometric imbeddings of symplectic groups, November 1996.

**52.
ŽÄ“c“O‘¾˜Y,**
Spectral asymptotics for nonlinear multiparameter ellipticeigenvalue problems with indefinite nonlinearities, October 1996.

**51.
ã–ì—T‰ÀŽq and ˆ¢‰ê‰ª–F•v, **Tilings of the 2-dimensional sphere by congruent right triangles, October 1996.

**50.
…“c‹`O and ‰º‘º“N, **A limiting case of Sobolev's imbedding theorems for
Riesz potentials of functions in Orlicz spaces, July 1996.

**49.
ŽÄ“c“O‘¾˜Y, **Multiparameter variational eigenvalue problems with
indefinite nonlinearity,
June 1996.

**48.
‘«—§‹§‹`, **Asymptotic observables for N-body Stark Hamiltonians,
May 1996.

**47.
‰F²”üL‰î,**
Nonexistence of positive solutions of Neumann problems
for elliptic inequalities of the mean curvature type,
November 1995.

**46.
ˆ¢‰ê‰ª–F•v,**
An algorithm to calculate plethysms of Schur
functions and the table up to total degree 16,
October 1995.

**45.
³–@’nF—Y, M. Kuwabara, ‹÷’JF—m and A. S. M. Shafiul Islam,**
A note on a relationship between adult weight and
age at peak weight velocity, September 1995.

**44.
“à“¡—YŠî and ‰F²”üL‰î,**
Nonexistence results of positive entire solutions
for quasilinear elliptic inequalities,
June 1995.

**43.
ˆ¢‰ê‰ª–F•v,**
A new example of almost flat affine
connections on the three dimensional sphere
with small covariant derivatives of curvature,
April 1995.

**42.
ˆ¢‰ê‰ª–F•v,**
First order partial differential equations on the curvature of
3-dimensional Heisenberg bundles,
April 1995.

**41.
…“c‹`O,**
Behaviour at infinity of polyharmonic functions,
January 1995.

**40.
¼–{–ÎŽ÷ and …“c‹`O,**
On the existence of tangential limits of monotone BLD functions,
January 1995.

**39.
’†ŽR—T“¹,**
On strongly Hausdorff flows,
January 1995.

**38.
“à“¡Šw, “à“¡—YŠî and ‰F²”üL‰î,**
Oscillation theory for semilinear elliptic equations
with arbitrary nonlinearities,
December 1994.

**37.
“à“¡—YŠî and ‰F²”üL‰î,**
Entire solutions of the inequality
div$(A(|Du|)Du) \geq f(u)$,
December 1994.

**36.
ˆ¢‰ê‰ª–F•v,**
Invariant subvarieties of the 3-tensor
space $C^2 \otimes C^2 \otimes C^2$,
October 1994.

**35.
…“c‹`O,**
Tangential limits of monotone Sobolev functions,
May 1994.

**34.
‰F²”üL‰î,**
Nonexistence properties of positive solutions
and oscillation criteria for second order semilinear
elliptic inequalities,
May 1994.

**33.
ˆÉ“¡Žj˜N,**
A note on Hilbert coefficients of integrally closed ideals,
March 1994.

**32.
‰º‘º“N and …“c‹`O,**
Continuity properties of Riesz potentials,
December 1993.

**31.
ˆ¢‰ê‰ª–F•v,**
On the curvature of the homogeneous space
$U(n+1)/U(n)$,
November 1993.

**30.
‰F²”üL‰î,**
A note on growth estimates for positive solutions
of nonlinear elliptic inequalities,
August 1993.

**29.
ˆ¢‰ê‰ª–F•v, **An example of almost flat affine connections
on the three dimensional sphere,
July, 1993.

**28.
‰Á“¡‹v’j, **Chaotic continua of (continuum-wise) expansive
homeomorphisms and chaos in the sense of Li and Yorke,
May 1993.

**27.
–Ø‘]•q_, …“c‹`O and ‰º‘º“N, **A theorem of Hardy-\\
Littlewood for harmonic functions
satisfying H\"{o}lder's condition,
May 1993.

**26.
…“c‹`O, **Integral representations and continuity
properties of Beppo Levi functions,
May 1993.

**25.
‰F²”üL‰î, **Asymptotic behavior of positive solutions of
singular Emden-Fowler type equations,
October 1992.

**24.
ˆ¢‰ê‰ª–F•v, **A table on codimension of local isometric
imbeddings of Riemannian symmetric spaces,
August 1992.

**23.
…“c‹`O, **Hyperplane means of potentials,
July 1992.

**22.
“à“¡—YŠî and ‹g“c´, **On damped oscillation of solutions for some nonlinear
second order ordinary differential equations,
July 1992.

**21.
‘–ì®, •û–¾•v and ‰F²”üL‰î, **On the oscillation of solutions of
second order quasilinear ordinary differential equations,
June 1992.

**20.
‘–ì®, •û–¾•v and ‰F²”üL‰î, **Oscillation theory for a class of second order quasilinear
ordinary differential equations with application to partial
differential equations,
June 1992.

**19.
¼‰Y—õ and —é–ØG¹, **Coalescence, repulsion,
and nonuniqueness for singular limit reaction diffusion systems,
May 1992.

**18.
‰F²”üL‰î, **Nonexistence of positive entire solutions for
elliptic inequalities of the mean curvature type,
April 1992.

**17.
‹g“c´, **On oscillation and decay of solutions for some
ordinary differential systems,
March 1992.

**16.
…“c‹`O, **Boundary limits of polyharmonic functions in
Sobolev-Orlicz spaces,
October 1991.

**15.
ÎŒ´Æ, **More on Markov's theorem,
September 1991.

**14.
–Ø”¦“ÄF and ˜a“c—ÁŽq, **Zonal polynomials on the space of 3*3 positive definite
symmmetric matrices,
August 1991.

**13.
‰Á“¡‹v’j, **Expansive homeomorphisms in continuum theory,
May 1991.

**12.
‰F²”üL‰î, **Positive solutions of singular Emden-Fowler type systems,
May 1991.

**11.
…“c‹`O, **Continuity properties of potentials and Beppo-Levi-Deny
functions,
May 1991.

**10.
ˆ¢‰ê‰ª–F•v and Œ““c‰p“ñ, **An estimate on the codimension of local isometric imbeddings
of compact Lie groups,
April 1991.

**9.
ÎŒ´Æ, **Continuity properties in constructive mathematics,
January 1991.

**8.
¬–ìŠ°ð, **Logics of belief and belief sets - an approach
to autoepistemic logic,
December 1990.

**7.
ˆÉ“¡Žj˜N, **Coefficients of normal Hilbert polynomials,
December 1990.

**6.
…“c‹`O, **Spherical means of Beppo-Levi-Deny functions,
December 1990.

**5.
…“c‹`O, **Fine limits of potentials,
December 1990.

**4.
¬–ìŠ°ð, **Phase structures and quantales,
November 1990.

**3.
ÎŒ´Æ, **Constructive existence of Minkowski functionals,
November 1990.

**2.
ÎŒ´Æ, **Constructive existence of Minkowski functionals,
November 1990.

**1.
ÎŒ´Æ, **Constructive existence of Minkowski functionals,
November 1990.