A computational method for a rearrangement minimization related to the Poisson problem on the unit disk in the plane

Document Type : Original Paper


Department of Mathematics, Faculty of Mathematical Sciences & Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran


In this paper, we consider a rearrangement minimization problem related to the Poisson equation on the unit open disk in the plane. We show that this problem has a unique solution that is radially symmetric. In addition, we prove by computational method that this solution is an increasing function .


Main Subjects

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Volume 12, Issue 3
November 2022
Pages 336-343
  • Receive Date: 15 January 2022
  • Revise Date: 22 August 2022
  • Accept Date: 22 August 2022
  • First Publish Date: 11 September 2022