no. 1
Compactness of conformal metrics with positive gaussian curvature in ℝ 2
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 1, pp. 31-45. 
@article{ASNSP_1998_4_26_1_31_0,
     author = {Cheng, Kuo-Shung and Lin, Chang-Shou},
     title = {Compactness of conformal metrics with positive gaussian curvature in $\mathbb {R}^2$},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {31--45},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 26},
     number = {1},
     year = {1998},
     mrnumber = {1633051},
     zbl = {0933.35056},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1998_4_26_1_31_0/}
}
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Cheng, Kuo-Shung; Lin, Chang-Shou. Compactness of conformal metrics with positive gaussian curvature in $\mathbb {R}^2$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 1, pp. 31-45. http://www.numdam.org/item/ASNSP_1998_4_26_1_31_0/

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