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

Document Type : Original Paper

Author

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

Abstract

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 .

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Main Subjects


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