On conformal scalar curvature equations in ℝn

Author:

Li Yi,Ni Wei-Ming

Publisher

Duke University Press

Subject

General Mathematics

Reference23 articles.

1. [AM] P. Aviles and R. McOwen, Conformal deformations of complete manifolds with negative curvature, J. Differential Geom. 21 (1985), no. 2, 269–281.

2. [BL] H. Berestycki and P.-L. Lions, Nonlinear scalar field equations. I. Existence of a ground state, Arch. Rational Mech. Anal. 82 (1983), no. 4, 313–345.

3. [C] E. Calabi, An extension of E. Hopf's maximum principle with an application to Riemannian geometry, Duke Math. J. 25 (1957), 45–56.

4. [CCY] C.-Y. Chen, K.-S. Cheng, and W.-N. Yu, Conformal deformations of metrics on $H^n(-1)$ with prescribed scalar curvatures, preprint.

5. [CL] K.-S. Cheng and J. T. Lin, On the elliptic equations $\Delta u=K(x)u\sp \sigma$ and $\Delta u=K(x)e\sp 2u$, Trans. Amer. Math. Soc. 304 (1987), no. 2, 639–668.

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