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Liouville's Theorem in the Radially Symmetric Case

Published online by Cambridge University Press:  20 November 2018

Richard Froese
Richard Froese*
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1Z4 e-mail: rfroese@math.ubc.ca
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Abstract

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We present a very short proof of Liouville's theorem for solutions to a non-uniformly elliptic radially symmetric equation. The proof uses the Ricatti equation satisfied by the Dirichlet to Neumann map.

Keywords

35B0534A30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 3 , 01 September 2005 , pp. 405 - 408
Copyright
Copyright © Canadian Mathematical Society 2005

References

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