Geodesic
Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 34B05, 34L15
Keywords: Schrödinger equation, principal eigenvalue, minimization, maximization, rearrangements of functions, fixed points 
@article{EJDE_2008__2008__a5,
     author = {Emamizadeh, Behrouz and Fernandes, Ryan I.},
     title = {Optimization of the principal eigenvalue of the one-dimensional {Schr\"odinger} operator},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a5/}
}
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Emamizadeh, Behrouz; Fernandes, Ryan I. Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a5/