On the elliptic equation on

Authors:
Sanxing Wu and Hongying Liu

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

Published electronically:
May 12, 2004

MathSciNet review:
2063130

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we consider the existence problem for the elliptic equation on , which arises in the study of conformal deformation of the hyperbolic disc. We prove an existence result for the above equation.

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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

DOI:
https://doi.org/10.1090/S0002-9939-04-07366-6

Keywords:
Semilinear elliptic PDE,
Gaussian curvature,
conformal Riemannian metric

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

Article copyright:
© Copyright 2004
American Mathematical Society