On the range of harmonic maps in the plane

DOI10.5186/aasfm.2020.4550zbMath1450.31001arXiv1903.07341OpenAlexW3035203170MaRDI QIDQ5118937

José González Llorente

Publication date: 27 August 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07341

zbMATH Keywords

harmonic polynomialharmonic functionharmonic map

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Cites Work

• On the number of omitted values of entire quasiregular mappings
• Uniform limits of certain A-harmonic functions with applications to quasiregular mappings
• Picard's Theorem and Brownian Motion
• A Characterization of Harmonic Polynomials in the Plane
• Picard's Theorem and Rickman's Theorem by Way of Harnack's Inequality
• The Rickman–Picard theorem
• Generalizations of a Theorem on Harmonic Functions
• A Theorem on Harmonic Functions
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