[1] Amdeberhan T. Two symmetry problems in potential theory. Electron J Differential Equations, 2001, 43:1-5
[2] Bianchini C, Henrot A, Salani P. An overdetermined problem with non-constant boundary condition. Interfaces Free Bound, 2014, 16(2):215-241
[3] Brandolini B, Nitsch C, Salani P, Trombetti C. Serrin-type overdetermined problems:an alternative proof. Arch Ration Mech Anal, 2008, 190:267-280
[4] Choulli M, Henrot A. Use of the domain derivative to prove symmetry results in partial differential equations. Math Nachr, 1998, 192:91-103
[5] Cianchi A, Salani P. Overdetermined anisotropic elliptic problems. Math Ann, 2009, 345:859-881
[6] Fragalá L. Symmetry results for overdetermined problems on convex domains via Brunn-Minkowski inequalities. J Math Pures Appl, 2012, 97(1):55-65
[7] Lieb E H, Loss M. Analysis. New Delhi:Narosa Publishing House, 1997
[8] Lv B, Li F, Zou W. Overdetermined boundary value problems with strongly nonlinear elliptic PDE. Electronic Journal of Qualitative Theory of Differential Equations, 2012, 10:1-17
[9] Greco A. Radial symmetry and uniqueness for an overdetermined problem. Math Methods Appl Sci, 2001, 24:103-115
[10] Henrot A, Philippin G. Some overdetermined boundary value problems with elliptical free boundaries. SIAM J Math Anal, 1998, 29:309-320
[11] Molzon R. Symmetry and overdetermined boundary value problems. Forum Math, 1991, 3(2):143-156
[12] Payne L E, Schaefer P W. On overdetermined boundary value problems for the biharmonic operator. Journal of Mathematical Analysis and Applications, 1994, 187(2):598-616
[13] Serrin J. A symmetry problem in potential theory. Arch Ration Mech Anal, 1971, 43:304-318
[14] Weinberger H. Remark on the preceding paper of Serrin. Arch Ration Mech Anal, 1971, 43:319-320
[15] Wang G, Xia C. A characterization of the Wulff shape by an overdetermined anisotropic PDE. Arch Ration Mech Anal, 2011, 199(1):99-115
[16] Wang L, Wang T. A note on an overdetermined system involving mean curvature. J Math Anal Appl, 2012, 393(2):489-492