A nonlinear eigenvalue problem arising in a nanostructured quantum dot

TY - JOUR

T1 - A nonlinear eigenvalue problem arising in a nanostructured quantum dot

AU - Mohammadi, Abbasali

AU - Bahrami, Fariba

PY - 2014/9

Y1 - 2014/9

N2 - In this paper we investigate a minimization problem related to the principal eigenvalue of the s-wave Schrödinger operator. The operator depends nonlinearly on the eigenparameter. We prove the existence of a solution for the optimization problem and the uniqueness will be addressed when the domain is a ball. The optimized solution can be applied to design new electronic and photonic devices based on the quantum dots.

AB - In this paper we investigate a minimization problem related to the principal eigenvalue of the s-wave Schrödinger operator. The operator depends nonlinearly on the eigenparameter. We prove the existence of a solution for the optimization problem and the uniqueness will be addressed when the domain is a ball. The optimized solution can be applied to design new electronic and photonic devices based on the quantum dots.

KW - s-Wave Schrödinger operator

KW - Optimization problems

KW - Nanostructured quantum dots

KW - Rearrangement

UR - https://www.scopus.com/pages/publications/84897030117

U2 - 10.1016/j.cnsns.2013.11.017

DO - 10.1016/j.cnsns.2013.11.017

M3 - Article

SN - 1007-5704

VL - 19

SP - 3053

EP - 3062

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 9

ER -