[1] Arena G, Caruso A O, Causa G. Taylor formula on step two Carnot group. Rev Mat Iberoam, 2010, 26(1): 239-259
[2] Bonfiglioli A, Lanconellli E, Uguzzoni F. Stratified Lie Groups and Potential Theory for Their sub-Laplacians. Springer Monographs in Mathematics. Berlin: Springer, 2007
[3] Bramanti M, Brandolini L. Schauder estimates for parabolic nondivergence operators of Hörmander type. J Differential Equations, 2007, 234(1): 177-245
[4] Capogna L. Regularity of quasi-linear equations in the Heisenberg group. Comm Pure Appl Math, 1997, 50(09): 867-889
[5] Caffarelli L A. Interior a priori estimates for solutions of fully nonlinear equations. Ann Math, 1989, 130(2): 189-213
[6] Caffarelli L A. Interior W2,p estimates for solutions of Monge-Ampère equations. Ann Math, 1990, 131(2): 135-150
[7] Capogna L, Han Q. Pointwise Schauder estimates for second order linear equations in Carnot groups. Proceedings for AMS-SIAM Harmonic Analysis Conference in Mt Holyhoke, 2001
[8] Douglis A, Nirenberg L. Interior estimates for elliptic systems of partial differential equations. Comm Pure Appl Math, 1955, 8: 503-538
[9] Dong H J, Kim S. Partial Schauder estimates for second order elliptic and parabolic equations. Calc Var Partial Differential Equations, 2011, 40(3/4): 481-500
[10] Jiang Y S, Tian F J. Schauder estimates for Kohn-Laplace equation in the Heisenberg group. Acta Math Sci, 2012, 32A(6): 1191-1198
[11] Fife P. Schauder estimates under incomplete Hölder continuity assumptions. Pacific J Math, 1963, 13: 511-550
[12] Folland G B. A fundamental solution for a subelliptic operator. Bull Amer Math Soc, 1973, 79: 373-376
[13] 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
[14] Folland G B. Subelliptic estimates and function spaces on nilpotent Lie groups. Ark Mat, 1975, 13: 161-207
[15] Garofalo N, Lanconelli E. Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation. Ann Inst Fourier (Grenoble), 1990, 40(2): 313-356
[16] Gaveau B. Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groups nilpotents. Acta Math, 1977, 139: 95-153
[17] Garofalo N, Tournier F. New properties of convex functions in the Heisenberg group. Trans Amer Math Soc, 2006, 358: 2011-2055
[18] Gutiérrez C, Lanconelli E. Schauder estimates for sub elliptic equations. J Evol Equ, 2009, 9(4): 707-726
[19] Safonov M V. The classical solution of the elliptic Bellman equation. Izv Akad Nauk SSSR Ser Mat, 1988, 52(6): 1272-1287; translation in Math USSR-Izv, 1989, 33(3): 597-612
[20] Tian G J, Wang X J. Partial regularity for elliptic equations. Discrete Contin Dyn Syst, 2010, 28(3): 899-913
[21] Uguzzoni F, Lanconelli E. On the Poisson kernel for the Kohn Laplacian. Rend Mat Appl (7), 1997, 17(4): 659-677
[22] Wang X J. Schauder estimates for elliptic and parabolic equations. Chin Ann Math Ser B, 2006, 27(6): 637-642 |