Conformal metrics with prescribed nonpositive Gaussian curvature on ℝ2

Calculus of Variations and Partial Differential Equations

Volumn 11, Issue 2, 2000, Pages 203-231

  Cheng, Kuo Shung ^a   Lin, Chang Shou ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141970983     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260000037     Document Type: Article

References (12)

1. Ahl'fors, L.V., An extension of Schwartz's lemma, Trans. Amer. Math. Soc. 43 (1938), 359-364.
2. 2u, Trans. Amer. Math. Soc. 304 (1987), 639-667.
3. 2, Math. Ann. 308 (1997), 119-139.
4. 2 with prescribed Gaussian curvature with positive total curvature, preprint.
5. 2 I, Duke Math. J. 62 (1991), 721-737.
6. 2 II, Math. Ann 290 (1991), 671-680.
7. Hayman, W.K., Slowly growing integral and subharmonic functions, Comment. Math. Helv. 34 (1960), 75-84.
8. 2, J. Math. Anal. Appl. 103 (1984), 365-370.
9. 2 with prescribed Gaussian curvature and positive total curvature, Indiana Univ. Math. J. 34 (1985), 97-104.
10. 2u = 0 and conformal metric with prescribed Gaussian curvatures, Invent. Math. 66 (1982), 343-352.
11. Osserman, R., A Survey of Minimal Surfaces, Dover, 1986.
12. 2 with prescribed curvature, Indiana Univ. Math. J. 22 (1972), 1-4.