Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator

Behrouz Emamizadeh, Ryan I. Fernandes

Research output: Journal PublicationArticlepeer-review

4 Citations (Scopus)

Abstract

In this paper we consider two optimization problems related to the principal eigenvalue of the one dimensional Schrödinger operator. These optimization problems are formulated relative to the rearrangement of a fixed function. We show that both problems have unique solutions, and each of these solutions is a fixed point of an appropriate function.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalElectronic Journal of Differential Equations
Volume2008
Publication statusPublished - 28 Apr 2008
Externally publishedYes

Keywords

  • Fixed points
  • Minimization; maximization
  • Principal eigenvalue
  • Rearrangements of functions
  • Schrödinger equation

ASJC Scopus subject areas

  • Analysis

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