Publication: New Proofs of Liouvilles Theorem and Little Picards Theorem for Harmonic Functions on R-n, n >= 2
Дата
2021
Авторы
Pavicevic, Z.
Andjic, M.
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There are several proofs for the Liouville theorem and the small Picard theorem for harmonic functions on R-n, n >= 2, in scientific literature. This paper provides a new simple proof of these theorems using the criteria of normality of harmonic functions and constancy of continuous functions on R-n, n >= 2.
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Pavicevic, Z. New Proofs of Liouvilles Theorem and Little Picards Theorem for Harmonic Functions on R-n, n >= 2 / Pavicevic, Z, Andjic, M // COMPLEX ANALYSIS AND OPERATOR THEORY. - 2021. - 15. - № 5. - 10.1007/s11785-021-01138-y