Stationary configurations for the average distance functional and related problems

نویسندگان

  • Giuseppe Buttazzo
  • Edoardo Mainini
  • Eugene Stepanov
چکیده

Abstract: For a functional defined on the class of closed onedimensional connected subsets of R we consider the corresponding minimization problem and we give suitable first order necessary conditions of optimality. The cases studied here are the average distance functional arising in the mass transportation theory, and the energy related to an elliptic PDE.

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تاریخ انتشار 2010