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A note on asymptotic uniqueness for some nonlinearities which change sign

Published online by Cambridge University Press:  17 April 2009

E. N. Dancer
E. N. Dancer
Affiliation:
School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 2 , April 2000 , pp. 305 - 312
Copyright
Copyright © Australian Mathematical Society 2000

References

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