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A nonlinear eigenvalue problem arising in a nanostructured quantum dot

delete2014-09-01
delete13
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M
Mohammadi, Abbasali *
F
F. Bahrami
DOI:10.1016/j.cnsns.2013.11.017delete
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Abstract

Abstract

En 中文
In this paper we investigate a minimization problem related to the principal eigenvalue of the s-wave Schrodinger 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. (C) 2014 Elsevier B. V. All rights reserved.
Keywords:
s-Wave Schrodinger operator
Optimization problems
Nanostructured quantum dots
Rearrangement
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Journal

Communications in Nonlinear Science and Numerical Simulation cover
Communications in Nonlinear Science and Numerical Simulation
IF:
3.8
Papers:
9.3K
Citations:
1.8W

Organization

Y
Yasouj University
Scholars:
1.9K
Papers: 1.9K
Citations: 1.4K
U
University of Tabriz
Scholars:
9.3K
Papers: 8.5K
Citations: 1.0W
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