On the elliptic equation $\Delta u+K(x)e^{2u}=0$ on $B^2$
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- by Sanxing Wu and Hongying Liu PDF
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Abstract:
In this paper we consider the existence problem for the elliptic equation $\Delta u+K(x)e^{2u}=0$ on $B^2=\{x \in R^2 \mid |x|<1\}$, which arises in the study of conformal deformation of the hyperbolic disc. We prove an existence result for the above equation.References
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Additional Information
- Sanxing Wu
- Affiliation: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, People’s Republic of China
- Hongying Liu
- Affiliation: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, People’s Republic of China
- Email: liuhongying@263.sina.com
- Received by editor(s): January 6, 2003
- Received by editor(s) in revised form: May 3, 2003
- Published electronically: May 12, 2004
- Additional Notes: The first author was supported in part by the China National Education Committee Science Research Foundation
- Communicated by: Richard A. Wentworth
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3083-3088
- MSC (2000): Primary 53C21; Secondary 35J60
- DOI: https://doi.org/10.1090/S0002-9939-04-07366-6
- MathSciNet review: 2063130