The Liouville theorem under second order differentiability assumption

DOI10.1016/j.aim.2013.05.014zbMath1285.30008OpenAlexW2011488868MaRDI QIDQ2437410

Zhuomin Liu

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2013.05.014

zbMATH Keywords

Liouville theoremconformal mapSobolev map

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Quasiregular curves of small distortion in product manifolds

Cites Work

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• On isometries and on a theorem of Liouville
• Quasiregular mappings in even dimensions
• Examples of weak minimizers with continuous singularities
• \(p\)-harmonic tensors and quasiregular mappings
• Liouville's theorem on conformal mappings for minimal regularity assumptions
• Another Approach to Liouville Theorem
• Growth of Subharmonic Functions
• Rings and Quasiconformal Mappings in Space
• Systems of Total Differential Equations and Liouville's Theorem on Conformal Mappings