ABDULHADI Z, MUHANNA Y A, KHURI S. On some properties of solutions of the biharmonic equation [J]. Applied Mathematics and Computation, 2006(1):346-351.doi:10.1016/j.amc.2005.11.013.
[2]
ABDULHADI Z, MUHANNA Y A. Landau’s theorem for biharmonic mappings [J]. Journal of Mathematical Analysis and Applications, 2008(1):705-709.doi:10.1016/j.jmaa.2007.05.065.
[3]
LIU Ming-sheng. Estimates on bloch constants for planar harmonic mappings [J]. Science China(Mathematics), 2008(1):87-93.
[4]
DUREB P. Harmonic mappings in the plane [M]. Cabridge:Cabridge Univ Press, 2004.
[5]
CHEN S, PONNUSAMY S, WANG X. Landau’s theorem for certain biharmonic mappings [J]. Applied Mathematics and Computation, 2009(2):427-433.doi:10.1016/j.amc.2008.12.016.
[6]
LEWY H. On the non-vanishing of the Jacobian in certain one-to-one mappings [J]. Bulletin of the American Mathematical Society, 1936, (10):689-692.doi:10.1090/S0002-9904-1936-06397-4.
[7]
CHEN H H, GAUTHIER P M, HENGARTNER W. Bloch constants for planar harmonic mappings [J]. Proceedings of the American Mathematical Society, 2000, (11):3231-3240.doi:10.1090/S0002-9939-00-05590-8.
[8]
HUANG Xin-zhong. Estimates on Bloch constants for planar harmonic mappings [J]. Journal of Mathematical Analysis and Applications, 2007(2):880-887.
[9]
LIU Ming-sheng. Landau’s theorem for planar harmonic mappings [J]. Computers and Mathematics with Appications, 2009(7):1142-1146.doi:10.1016/j.camwa.2009.01.009.
[10]
LIU Ming-sheng. Landau’s theorems for biharmonic mappings [J]. Comlex Variables and Elliptic Equations, 2008(9):843-855.