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An Existence Result of the Elliptic Equation Δu+K(x)e^(2u)=0
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作者 wu san-xing 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第1期33-37,共5页
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
关键词 elliptic PDE fixed point theorem Riemannian manifold Conformal Riemannian metric Gaussian curvature
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A Generalization of Yamabe Equation on Complete Manifolds
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作者 wu san-xing 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第1期1-7,共7页
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.
关键词 Riemannian manifold conformal Riemannian metric semilinear elliptic PDE
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