Entire solutions of the differential equation Δ;u = f(u)
- 1 December 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 30 (3) , 366-368
- https://doi.org/10.1017/s1446788700017249
Abstract
The existence of spherically symmetric solutions of the equation ▵u = f(u) is proved for a large class of functions f(z). Among others, functions satisfying an inequality zf(z) < 0 for |z| > A, and in particular the function f(z) = -sinh z, belong to this class.Keywords
This publication has 1 reference indexed in Scilit:
- Entire solutions of Δpu = f(r, u)Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1979