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On the elliptic equation Δu+K(x)e 2u=0 and conformal metrics with prescribed Gaussian curvatures

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References

  1. Kazdan, J.: Gaussian and scalar curvature, an update. In: Ann. Math. Studies Vol. 102 (S.-T. Yau, ed.). In press (1982)

  2. Kazdan, J., Warner, F.W.: Curvature functions for compact 2-manifolds. Ann. Math.99, 14–47 (1974)

    Google Scholar 

  3. Kazdan, J., Warner, F.W.: Curvature functions for open 2-manifolds. Ann. Math.99, 203–219 (1974)

    Google Scholar 

  4. Ni. W.-M.: On the elliptic equation Δu+K(x)u n+2/n−2=0. its generalizations and applications in geometry. Indiana Univ. Math. J. In Press (1982)

  5. Noussair, E.S.: On the existence of solutions of nonlinear elliptic boundary value problems. J. Differential Equations34, 482–495 (1979)

    Google Scholar 

  6. Oleinik, O.A.: On the equation Δu+k(x)e u=0. Russian Math. Surveys33, 243–244 (1978)

    Google Scholar 

  7. Sattinger, D.H.: Conformal metrics in ℝ2 with prescribed curvature. Indiana Univ. Math. J.22. 1–4 (1972)

    Google Scholar 

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Wei-Ming Ni

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  1. Wei-Ming Ni
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Supported in part by NSF Grant MCS 79-01780 and a research grant from the Graduate School of the University of Minnesota.

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Ni, WM. On the elliptic equation Δu+K(x)e 2u=0 and conformal metrics with prescribed Gaussian curvatures. Invent Math 66, 343–352 (1982). https://doi.org/10.1007/BF01389399

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  • DOI: https://doi.org/10.1007/BF01389399

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