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 | British English |
|---|---|
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2008 |
| State | Published - 28 Apr 2008 |
Keywords
- Fixed points
- Minimization; maximization
- Principal eigenvalue
- Rearrangements of functions
- Schrödinger equation