[1] Birindelli I,Dolcetta I C,Cutri A.Liouville theorems for semilinear equations on the Heisenberg groups.Ann I H P,1997,14:295-308 [2] Birindelli I,Dolcetta I C,Cutri A.Indefinite semi-linear equations on the Heisenberg group:a priori bounds and existence.Comm in PDE,1998,23:1123-1157 [3] Birindelli I,Prajapat J.Nonlinear Liouville theorems in the Heisenberg group via the moving plane method.Comm in PDE,1999,24(9/10):1875-1890 [4] Caffarelli L,Gidas B,Spruck J.Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth.Comm Pure Appl Math,1989,XLⅡ:271-297 [5] Chen W,Li C.Classification of solutions of some nonlinear elliptic equations.Duke Math J,1991,63:615-622 [6] Chen W,Li C,Ou B.Classification of solutions for an integral equation.Comm Pure Appl Math,2006,59:330-343 [7] Folland G B,Stein E M.Estimates for the∂b complex and analysis on the Heisenberg group.Comm Pure Appl Math,1974,27:429-522 [8] Gidas B,Ni W M,Nirenberg L.Symmetry and related properties via the maximum principle.Comm Pure Appl Math,1979,68:209-243 [9] Gidas B,Ni W M,Nirenberg L.Symmetry of positive solutions of nonlinear elliptic equations in Rn//Nachbin L.Mathematical Analysis and Applications,Part A,Adv Math Suppl Stud 7.New York:Academic Press,1981:369-402 [10] Gidas B,Spruck J.Global and local behavior of positive solutions of nonlinear elliptic equations.Comm Pure Appl Math,1981,85:525-598 [11] Han Y Z,Wang X D,Zhu M J.Characterization by symmetry of solutions of a nonlinear subelliptic equation on the Heisenberg group.Submitted to CVPDE [12] Jerison D S,Lee J M.The yamabe problem on CR manifolds.J Differential Geom,1987,25:167-197 [13] Jerison D S,Lee J M.Extremals for the Sobolev inequality on the Heisenberg group and Yamabe Problem.J Amer Math Soc,1998,1:1-13 [14] Korányi A.Kelvin transforms and harmonic polynomials on the Heisenberg group.Journal of Functional Analysis,1982,49:177-185 [15] Li C.Local asymptotic symmetry of singular solutions to nonlinear elliptic equations.Invent Math,1996,123:221-231 [16] Lee J M,Parker T H.The Yamabe problem.Bulletin of the American Mathematical Society,1987,17(1):37-91 [17] Li Y Y.Remark on some conformally invariant integral equatons:The method of moving spheres.J Eur Math Soc,2004,123:153-180 [18] Li Y Y,Monticelli D D.On fully nonlinear CR invariant equations on the Heisenberg group.J Differential Equations,2012,252:1309-1349 [19] Li Y Y,Zhu M J.Uniqueness theorems through the method of moving spheres.Duke Math J,1995,80(2):383-347 [20] Obata M.The conjecture on conformal transformations of Riemannian manifolds.J Differential Geom,1971,6:247-258 [21] Xu L.Semi-linear Liouville theorems in the Heisenberg group via vector field methods.J Differential Equations,2009,247:2799-2820 |