On the location of critical point for the Poisson equation in plane

초록

The location of the unique critical point of Delta u = -1 is investigated by conformal mapping method in complex variables. It is found that if the domain is given by r = 1 + cp (0), the critical point coincides with the center of mass up to the order of E. However, the two do not exactly match in general as shown by simple examples. (c) 2005 Elsevier Inc. All rights reserved.

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