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Some notes on the method of moving planes

Published online by Cambridge University Press:  17 April 2009

E.N. Dancer
E.N. Dancer
Affiliation:
The Department of Mathematics, Statistics and Computing Science, The University of New England, Armidale NSW 2351, Australia
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Abstract

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In this paper, we obtain a version of the sliding plane method of Gidas, Ni and Nirenberg which applies to domains with no smoothness condition on the boundary. The method obtains results on the symmetry of positive solutions of boundary value problems for nonlinear elliptic equations. We also show how our techniques apply to some problems on half spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 3 , December 1992 , pp. 425 - 434
Copyright
Copyright © Australian Mathematical Society 1992

References

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