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 language | English |
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Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | Electronic Journal of Differential Equations |
Volume | 2008 |
Publication status | Published - 28 Apr 2008 |
Externally published | Yes |
Keywords
- Fixed points
- Minimization; maximization
- Principal eigenvalue
- Rearrangements of functions
- Schrödinger equation
ASJC Scopus subject areas
- Analysis