Bibliography

1

Atkinson, F. V., On second order nonlinear oscillations, Pacific J. Math. 5 (1955), 643-647.

2

Ebihara, Y. and Furusho, Y., On the exterior Dirichlet problem for semilinear elliptic equations with coefficients unbounded on the boundary, Hiroshima Math. J. 19 (1989), 379-396.

3

Hashimoto, S. and Ôtani, M., Elliptic equations with singularity on the boundary, Differential Integral Equations 12 (1999), 339-349.

4

Kabeya, Y., Yanagida, E. and Yotsutani, S., Canonical forms and structure theorems for radial solutions to semi-linear elliptic problems, preprint.

5

Kwong, M.-K. and Li, Y., Uniqueness of radial solutions of semilinear elliptic equations, Trans. Amer. Math. Soc. 333 (1992), 339-363.

6

Ni, W.-M., On the elliptic equation $\Delta u + K(\vert x\vert)u^{(n+2)/(n-2)} = 0$, its generalization, and applications in geometry, Indiana Univ. Math. J. 31 (1982), 493-529.

7

Ni, W.-M., On a singular elliptic equation, Proc. Amer. Math. Soc. 88 (1983), 614-616.

8

Ni, W.-M., Some aspects of semilinear elliptic equations in ${\bf R}^n$, in Nonlinear diffusion equations and their equilibrium states II, (W.-M. Ni, L. A. Peletier, J. Serrin eds.), 171-205, Springer-Verlag, 1988.

9

Ni, W.-M. and Yotsutani, S., Semilinear elliptic equations of Matukuma-type and related topics, Japan J. Appl. Math. 5 (1988), 1-32.

10

Senba, T., Ebihara, Y. and Furusho, Y., Dirichlet problem for a semilinear elliptic equation with singular coefficient, Nonlinear Analysis 15 (1990), 299-306.

11

Yanagida, E. and Yotsutani. S., Classification of the structure of positive radial solutions to $\Delta u + K(\vert x\vert)u^p = 0$ in ${\bf R}^n$, Arch. Rational Mech. Anal. 124 (1993), 239-259.

Address of the authors:

Hitoshi Myogahara

Horiba, Ltd.

Kyoto 601-8510, Japan

E-mail: myogahar@horiba.co.jp

Eiji Yanagida

Mathematical Institute

Tohoku University

Sendai 980-8578, Japan

E-mail: yanagida@math.tohoku.ac.jp

Shoji Yotsutani

Department of Applied Mathematics and Informatics

Ryukoku University

Seta, Otsu 520-2194, Japan

E-mail: shoji@math.ryukoku.ac.jp