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 H^2. An existence result is prov...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 H^2. An existence result is proved. In particular, K(x) is allowed to be unbounded above.展开更多
This paper considers a semilinear elliptic equation on a n-dimensional complete noncompact R.iemannian manifold, which is a generalization of the well known Yamabe equation. An existence result is proved.
基金Supported by the China National Education Committee Science Foundation
文摘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 H^2. An existence result is proved. In particular, K(x) is allowed to be unbounded above.
文摘This paper considers a semilinear elliptic equation on a n-dimensional complete noncompact R.iemannian manifold, which is a generalization of the well known Yamabe equation. An existence result is proved.