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Liouville's Theorem in the Radially Symmetric Case |
Canad. Math. Bull. 48(2005), 405-408
Published:2005-09-01
Printed: Sep 2005
Printed: Sep 2005
- Richard Froese
Abstract
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.
| MSC Classifications: |
35B05 - Oscillation, zeros of solutions, mean value theorems, etc. 34A30 - Linear equations and systems, general |