Existence of an extremal ground state energy of a nanostructured quantum dot

F. Bahrami, B. Emamizadeh, A. Mohammadi

Research output: Journal PublicationArticlepeer-review

7 Citations (Scopus)


This paper is concerned with two rearrangement optimization problems. These problems are motivated by two eigenvalue problems which depend nonlinearly on the eigenvalues. We consider a rational and a quadratic eigenvalue problem with Dirichlet's boundary condition and investigate two related optimization problems where the goal function is the corresponding first eigenvalue. The first eigenvalue in the rational eigenvalue problem represents the ground state energy of a nanostructured quantum dot. In both the problems, the admissible set is a rearrangement class of a given function.

Original languageEnglish
Pages (from-to)6287-6294
Number of pages8
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number17
Publication statusPublished - Dec 2011
Externally publishedYes


  • Minimization problems
  • Nanostructured quantum dots
  • Nonlinear eigenvalue problems
  • Rearrangements of a function

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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