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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

Abstract

In this paper, we consider the existence of a solution to the elliptic nonlinear partial differential equation ${\Delta}u+H({\chi})e^{u}$ = 0 (H $\neq$ 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)

keywords

한국수학교육학회지시리즈B:순수및응용수학