Classification of conformai metrics on R+2 with constant Gauss curvature and geodesic curvature on the boundary under various integral finiteness assumptions

Calculus of Variations and Partial Differential Equations

Volumn 16, Issue 4, 2003, Pages 405-430

  Zhang, Lei ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037596468     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260100155     Document Type: Article

References (14)

1. u in two dimensions. Commu in PDE 16 (1991), 1223-1253
2. H. Brezis, L. Veron, Removable Singularities for some nonlinear elliptic equations, Archive for Rational Mechanics and Analysis 75(1) (1980/1981), 1-6
3. L. Caffarelli, B. Gidas, J. Spruck, Asymptotic symmetry and local behavior of semilinear equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (1989), 271-297
4. S. Chanillo, M. K.-H. Kiessling, Conformally invariant systems of nonlinear PDE of Liouville type. Geom. Funct. Anal. 5 (1995), 924-947
5. W. Chen, C. Li, Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991), 615-623
6. n with a nonlinear boundary condition. Journal of Math Ana and appl. 223 (1998), 429-471
7. u = 0 in a punctured disc, Pacific J. Math. 163 (1994), 269-276
8. Zheng-Chao Han, Yanyan Li, The Yamabe problem on manifolds with boundaries: Existence and compactness results, Duke Math. J. 99 (1999), 489-542
9. Y.Y. Li, Lei Zhang, Liouville type theorems and Harnack type inequalities for semilinear elliptic equations, to appear in Journal d'Analyse Mathematique
10. Y.Y. Li, M. Zhu, Uniqueness theorems through the method of moving spheres, Duke Math 80(2) (1995), 383-417
11. C. Loewner, L. Nirenberg, Partial differential equations invariant under conformal or projective transformations, in Contributions to Analysis, 245-272. New York-London: Academic Press 1974
12. Biao Ou, A uniqueness theorem for harmonic functions on the upper-half plane, to appear in Conformal Geometry and Dynamics
13. Lei Zhang, Refined Asymptotic Estimates for Conformal Scalar Curvature Equation Via Moving Sphere Method, to appear in Journal of Funct. Anal.
14. Lei Zhang, On Yamabe type equations with prescribed scalar curvature and boundary mean curvature, preprint