SYMMETRY OF OPTIMAL SOLUTION WHEN DOMAIN IS SYMMETRIC

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ZIVARI REZAPOUR MOHSEN; JALALVAND MEHDI

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Journal: ADVANCES IN MATHEMATICAL MODELING Year:2016 | Volume:6 | Issue:1 Page(s): 81-88

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Title

SYMMETRY OF OPTIMAL SOLUTION WHEN DOMAIN IS SYMMETRIC

Author(s)

ZIVARI REZAPOUR MOHSEN | JALALVAND MEHDI | Issue Writer Certificate

Keywords

LAPLACIAN EQUATIONQ2

MAXIMIZATION PROBLEMQ2

OPTIMAL SOLUTIONQ2

REARRANGEMENTQ2

SYMMETRYQ3

UNIQUENESSQ2

Abstract

In this paper, we consider a MAXIMIZATION PROBLEM related to a LAPLACIAN EQUATION with Dirichlet boundary conditions, where the admissible set is a REARRANGEMENT class of a non-negative function. When the domain of the equation is symmetric, under some suitable assumptions, we prove that the OPTIMAL SOLUTION of the MAXIMIZATION PROBLEM is symmetric and unique.

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APA: Copy

ZIVARI REZAPOUR, MOHSEN, & JALALVAND, MEHDI. (2016). SYMMETRY OF OPTIMAL SOLUTION WHEN DOMAIN IS SYMMETRIC. ADVANCES IN MATHEMATICAL MODELING, 6(1), 81-88. SID. https://sid.ir/paper/243915/en

Vancouver: Copy

ZIVARI REZAPOUR MOHSEN, JALALVAND MEHDI. SYMMETRY OF OPTIMAL SOLUTION WHEN DOMAIN IS SYMMETRIC. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2016;6(1):81-88. Available from: https://sid.ir/paper/243915/en

IEEE: Copy

MOHSEN ZIVARI REZAPOUR, and MEHDI JALALVAND, “SYMMETRY OF OPTIMAL SOLUTION WHEN DOMAIN IS SYMMETRIC,” ADVANCES IN MATHEMATICAL MODELING, vol. 6, no. 1, pp. 81–88, 2016, [Online]. Available: https://sid.ir/paper/243915/en

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