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

  • 발행 : 1996.06.01

초록

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)

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