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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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ON THE ELLIPTIC EQUATION <TEX>${\Delta}u+H({\chi})e^{u}$</TEX> = 0 ON COMPACT MANIFOLDS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Chosun University)
Kim, Seon-Bu (Department of Mathematics, Chonam National University)
Shin, Cheol-Guen (Department of Mathematics, Chosun University)
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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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한국수학교육학회지시리즈B:순수및응용수학