15 citations · 20 across the 3 of their papers we have counts for
3 papers
math-ph2014★ 15 cited
A nonlinear eigenvalue problem arising in a nanostructured quantum dot
Abbasali Mohammadi, Fariba Bahrami
In this paper we investigate a minimization problem related to the principal eigenvalue of the -wave Schrödinger operator. The operator depends nonlinearly on the eigenparameter…
math.AP2014★ 5 cited
Optimal ground state energy of two-phase conductors
Abbasali Mohammadi, Mohsen Yousefnezhad
Consider the problem of distributing two conducting materials in a ball with fixed proportion in order to minimize the first eigenvalue of a Dirichlet operator. It was conjectured…
math.AP2013
Extremal basic frequency of non-homogeneous plates
Abbasali Mohammadi
In this paper we propose two numerical algorithms to derive the extremal principal eigenvalue of the bi-Laplacian operator under Navier boundary conditions or Dirichlet boundary co…