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Liouville's Theorem in the Radially Symmetric Case

  Published:2005-09-01
 Printed: Sep 2005
  • Richard Froese
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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, 34A30 show english descriptions Oscillation, zeros of solutions, mean value theorems, etc.
Linear equations and systems, general
35B05 - Oscillation, zeros of solutions, mean value theorems, etc.
34A30 - Linear equations and systems, general
 

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