## Hokkaido Mathematical Journal

### Positive radial solutions of semilinear elliptic equations of order 2m in annular domains

Robert DALMASSO

#### Abstract

We study the existence of positive radial solutions of $(-1)^{m} \Delta^{m}u=g(|x|)f(u)$ in an annulus with Dirichlet boundary conditions. In particular $L^{\infty}$ a priori bounds are obtained.

#### Article information

Source
Hokkaido Math. J., Volume 23, Number 1 (1994), 93-101.

Dates
First available in Project Euclid: 10 October 2013

https://projecteuclid.org/euclid.hokmj/1381412487

Digital Object Identifier
doi:10.14492/hokmj/1381412487

Mathematical Reviews number (MathSciNet)
MR1263825

Zentralblatt MATH identifier
0817.35025

#### Citation

DALMASSO, Robert. Positive radial solutions of semilinear elliptic equations of order 2m in annular domains. Hokkaido Math. J. 23 (1994), no. 1, 93--101. doi:10.14492/hokmj/1381412487. https://projecteuclid.org/euclid.hokmj/1381412487