Existence and non-existence results for semilinear elliptic problems in unbounded domains
- 1 January 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 93 (1-2) , 1-14
- https://doi.org/10.1017/s0308210500031607
Abstract
In this paper, we prove various existence and non-existence results for semilinear elliptic problems in unbounded domains. In particular we prove for general classes of unbounded domains that there exists no solution distinct from 0 offor any smooth f satisfying f(0) = 0. This result is obtained by the use of new identities that solutions of semilinear elliptic equations satisfy.This publication has 11 references indexed in Scilit:
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