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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A uniqueness theorem for harmonic functions on the upper-half plane
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by Biao Ou PDF
Conform. Geom. Dyn. 4 (2000), 120-125 Request permission

Abstract:

Consider harmonic functions on the upper-half plane $R^{2}_{+}\! = \{(x,y)|\;y > 0 \}$ satisfying the boundary condition $u_{y}=-\exp (u)$ and the constraint $\int _{R^{2}_{+}}\exp (2u) < \infty$. We prove that all such functions are of form (1.2) below.
References
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Additional Information
  • Biao Ou
  • Affiliation: Department of Mathematics, University of Toledo, Toledo, Ohio 43606
  • Email: bou@math.utoledo.edu
  • Received by editor(s): August 14, 2000
  • Published electronically: December 15, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 4 (2000), 120-125
  • MSC (2000): Primary 53A30, 35J05, 30C15
  • DOI: https://doi.org/10.1090/S1088-4173-00-00067-9
  • MathSciNet review: 1799653