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We obtain some analogs of the Liouville property for the function that is harmonic on the exterior of a Jordan domain $ G\subset{\mathbb{C}} $ and has constant boundary values of… Click to show full abstract
We obtain some analogs of the Liouville property for the function that is harmonic on the exterior of a Jordan domain $ G\subset{\mathbb{C}} $ and has constant boundary values of the function itself and its normal derivative. We show that these conditions cannot be relaxed in general.
Keywords:
liouville property;
harmonic functions;
property harmonic;
analogs liouville;
functions unbounded
Journal Title: Siberian Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Siberian Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!