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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1996, v.3 no.1, pp.9-18
Jung, Yoon-Tae
Kim, Seon-Bu
Shin, Cheol-Guen
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Abstract

In this paper, we consider the existence of a solution to the elliptic nonlinear partial differential equation <TEX>${\Delta}u+H({\chi})e^{u}$</TEX> = 0 (H <TEX>$\neq$</TEX> 0) (1) on a compact manifold without boundary. This equation is related to the problem of a pointwise conformal deformation of metrics on two dimensional compact connected manifolds.(omitted)

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics