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A nonlinear eigenvalue problem arising in a nanostructured quantum dot
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DOI：10.1016/j.cnsns.2013.11.017.png)
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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.
Keyword:
s-Wave Schrodinger operator
Optimization problems
Nanostructured quantum dots
Rearrangement
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