On univalence of biharmonic maps

DOI10.1080/17476930802037652zbMath1152.30013OpenAlexW2051346892MaRDI QIDQ3521129

Yusuf Abu Muhanna

Publication date: 27 August 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802037652

zbMATH Keywords

Jacobianharmonic functionstar-like function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Navier-Stokes equations (35Q30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (5)

Construction and determination of univalent biharmonic mappings ⋮ On certain geometric properties of polyharmonic mappings ⋮ One parameter family of univalent biharmonic mappings ⋮ One parameter family of univalent polyharmonic mappings ⋮ Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions

Cites Work

• On univalent solutions of the biharmonic equation
• Harmonic Mappings onto Convex Domains
• Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions

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