A note on asymptotic uniqueness for some nonlinearities which change sign
- 17 April 2000
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 61 (2) , 305-312
- https://doi.org/10.1017/s0004972700022309
Abstract
In this paper, we prove the uniqueness of the decaying positive solution on all of Rn for certain second order non linear elliptic equations. This improves earlier work of a number of authors. These problems occur in the theory of peak solutions. In particular, our results apply to a number of non-smooth nonlinearities which occur as limiting equations in population problems.Keywords
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