TY - JOUR
ID - 12305
TI - Symmetry of optimal solution when domain is symmetric
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Zivari-Rezapour, Mohsen
AU - Jalalvand, Mehdi
AD - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Y1 - 2016
PY - 2016
VL - 6
IS - 1
SP - 81
EP - 88
KW - Laplacian equation
KW - maximization problem
KW - optimal solution
KW - Rearrangement
KW - symmetry
KW - uniqueness
DO - 10.22055/jamm.2016.12305
N2 - 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.
UR - https://jamm.scu.ac.ir/article_12305.html
L1 - https://jamm.scu.ac.ir/article_12305_ee94367473821db839d0f29c8415c33f.pdf
ER -