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A spiral interface with positive Alt-Caffarelli-Friedman limit at the origin 

  • Room 6496 at The Graduate Center, CUNY 365 5th Avenue New York, NY, 10016 United States (map)

Dennis Kriventsov, Rutgers University 

Abstract: I will discuss an example of a pair of continuous nonnegative subharmonic functions, each vanishing where the other is positive, which have a strictly positive limit for the Alt-Caffarelli-Friedman monotonicity formula at the origin, but for which the origin is not a point of differentiability for the boundary of their supports. Time permitting, I will also discuss some further progress on related problems.This is based on joint work with Mark Allen. 

Part of the Non-Linear Study Group. For more info, see https://www.math.csi.cuny.edu/~mlucia/GCactivities.html