Bi-Harmonic mappings and J. C. C. Nitsche type conjecture

2011/02/12 by David Kalaj, Kalaj, David, Saminathan Ponnusamy +1 · 1 citation
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #math.CV

paper · pdf · doi:10.48550/arxiv.1102.2530

9 pages, 2 figures

arxiv created 2011/02/12 · openalex publication_date 2011/02/12 · arxiv updated 2011/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note it is formulated the J. C. C. Nitsche type conjecture for bi-harmonic mappings. The conjecture has been motivated by the radial bi-harmonic mappings between annuli.

Cited by

• A nonexistence result on harmonic diffeomorphisms between punctured spaces

Related

• Bi-f-harmonic curves and hypersurfaces
• Variation formulas for transversally harmonic and bi-harmonic maps
• Pavlovic's theorem in space
• Completely monotone sequences and harmonic mappings
• Harmonic Maps and Teichmueller Theory