4 papers
An accelerated rearrangement method for two-phase composite optimization
Chiu-Yen Kao, Seyyed Abbas Mohammadi, Braxton Osting
We propose and analyze an Accelerated Rearrangement Method (ARM) for solving a class of nonconvex optimization problems involving two-phase composites. These problems include maxim…
Extremal Eigenvalues of Weighted Steklov Problems
Chiu Yen Kao, Seyyed Abbas Mohammadi
We study the optimization of Steklov eigenvalues with respect to a boundary density function on a bounded Lipschitz domain . We investigate the minimizat…
The first eigenvalue and eigenfunction of a nonlinear elliptic system
Farid Bozorgnia, Seyyed Abbas Mohammadi, Tomas Vejchodsky
In this paper, we study the first eigenvalue of a nonlinear elliptic system involving -Laplacian as the differential operator. The principal eigenvalue of the system and the cor…
Extremal energies of Laplacian operator: Different configurations for steady vortices
Seyyed Abbas Mohammadi
In this paper, we study a maximization and a minimization problem associated with a Poisson boundary value problem. Optimal solutions in a set of rearrangements of a given function…