Differential and Integral Equations

Mathematical remarks on the optimized effective potential problem

Adel Ben-Haj-Yedder, Eric Cances, and Claude Le Bris

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We investigate mathematically a minimization problem issued from computational chemistry, and known as the Optimal Effective Potentiel (OEP) problem. We propose a weak formulation of the problem, that we show to be well-posed in a simple case, and we address various related questions.

Article information

Differential Integral Equations, Volume 17, Number 3-4 (2004), 331-368.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35J50: Variational methods for elliptic systems 35R25: Improperly posed problems 49J20: Optimal control problems involving partial differential equations


Ben-Haj-Yedder, Adel; Cances, Eric; Le Bris, Claude. Mathematical remarks on the optimized effective potential problem. Differential Integral Equations 17 (2004), no. 3-4, 331--368. https://projecteuclid.org/euclid.die/1356060436

Export citation