Liouville’s classical theorem assures that every harmonic function on the whole space$ R^n$ that is moreover bounded from below is a constant. It is easy to observe that, generally, the same result does not hold if we replace the whole space $R^n$ with an exterior domain. Hence, in this paper we provide a Liouville-type theorem for harmonic functions defined on exterior domains.
A Liouville-type theorem for harmonic functions on exterior domains
CAMMAROTO, Filippo;CHINNI', Antonia
2000-01-01
Abstract
Liouville’s classical theorem assures that every harmonic function on the whole space$ R^n$ that is moreover bounded from below is a constant. It is easy to observe that, generally, the same result does not hold if we replace the whole space $R^n$ with an exterior domain. Hence, in this paper we provide a Liouville-type theorem for harmonic functions defined on exterior domains.File in questo prodotto:
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