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Liouville properties on graphs

Part of: Other generalizations

Published online by Cambridge University Press:  26 February 2010

Marco Rigoli ,
Maura Salvatori  and
Marco Vignati
Marco Rigoli
Affiliation:
Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy.
Maura Salvatori
Affiliation:
Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy.
Marco Vignati
Affiliation:
Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy.
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Abstract

We introduce a class of “differential operators” on graphs and we prove an energy estimate and a Liouville type theorem depending on some structural properties of the operators considered.

MSC classification

Secondary: 31C05: Harmonic, subharmonic, superharmonic functions
Type
Research Article
Information
Mathematika , Volume 44 , Issue 1 , June 1997 , pp. 133 - 148
Copyright
Copyright © University College London 1997

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References

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