Circular Symmetrization and Extremal Robin Conditions

  • Steven J. Coxy
  • Published 2007


We study the average temperature in a homogeneous disk subject to uniform heating in its interior and Newton's law of cooling, hv + @v=@n = 0, on its boundary. More precisely, among those h taking values in a prescribed interval, and of prescribed mean, we identify the minimizer and a maximizer of the average temperature. The latter characterization makes… (More)


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