An Existence Result of the Elliptic Equation Δu+K（x）e2u=0

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (1): 33-37.

An Existence Result of the Elliptic Equation Δu+K（x）e^2u=0

Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083,China

Received:2004-03-23 Online:2006-03-30 Published:2023-12-18
About author:WU San-xing(1958-),male,native of Qixian,Shanxi,an associate professor of Beijing University of Aeronautics and Astronautics,Ph.D.,engages in differential geometry.
Supported by:
Supported by the China National Education Committee Science Foundation；

Abstract

Abstract: This paper considers the existence problem of an elliptic equation, which is equivalent to solving the so called prescribing conformal Gaussian curvature problem on the hyperbolic disc H². An existence result is proved. In particular, K(x) is allowed to be unbounded above.

Key words: elliptic , , PDE;fixed , , point , , theorem;Riemannian , , manifold;Conformal , , Rie-
mannian , metric;Gaussian , curvature

CLC Number:

O175.29

WU San-xing. An Existence Result of the Elliptic Equation Δu+K（x）e^2u=0[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 33-37.

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An Existence Result of the Elliptic Equation Δu+K（x）e^2u=0

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