
Remark on Gauss curvature equations on punctured disk
Yuxiang LI, Hongyan TANG
Front. Math. China ›› 2020, Vol. 15 ›› Issue (4) : 701-707.
Remark on Gauss curvature equations on punctured disk
We give a new argument on the classification of solutions of Gauss curvature equation on R2; which was first proved by W. Chen and C. Li [Duke Math. J., 1991, 63(3): 615–622]. Our argument bases on the decomposition properties of the Gauss curvature equation on the punctured disk.
Gauss curvature equation / singular point
[1] |
Brezis H, Merle F. Uniform estimates and blow-up behavior for solutions of −Δu= V (x)eu in two dimensions. Comm Partial Differential Equations, 1991, 16: 1223–1253
CrossRef
Google scholar
|
[2] |
Chen W, Li C. Classification of solutions of some nonlinear elliptic equations. Duke Math J, 1991, 63(3): 615–622
CrossRef
Google scholar
|
[3] |
Chou K, Wan Y. Asymptotic radial symmetry for solutions of Δu+ eu= 0 in a punctured disc. Pacific J Math, 1994, 163(2): 269{276
CrossRef
Google scholar
|
[4] |
Struwe M. Positive solutions of critical semilinear elliptic equations on non-contractible planar domains. J Eur Math Soc (JEMS), 2000, 2(4): 329–388
CrossRef
Google scholar
|
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