Two Symmetry Problems in Potential Theory
Southwest Texas State University, Department of Mathematics
We consider two overdetermined boundary value problems as variants on J. Serrin's 1971 classical results and prove in both cases that the domains must be Euclidean balls.
Overdetermined problems, Maximum principles
Amdeberhan, T. (2001). Two symmetry problems in potential theory. <i>Electronic Journal of Differential Equations, 2001</i>(43), pp. 1-5.