Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 65, pp. 1-11.

Title: Optimization of the principal eigenvalue of the one-dimensional
       Schrodinger operator
 
Authors: Behrouz Emamizadeh (The Petroleum Institute, Abu Dhabi, UAE)
         Ryan I. Fernandes  (The Petroleum Institute, Abu Dhabi, UAE)

Abstract: 
 In this paper we consider two optimization problems related
 to the principal eigenvalue of the one dimensional
 Schrodinger 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.
 
Submitted January 23, 2008. Published April 28, 2008.
Math Subject Classifications: 34B05, 34L15.
Key Words: Schrodinger equation; principal eigenvalue;
           minimization; maximization; rearrangements of functions; 
	   fixed points