Advances in Differential Equations

Thomas-Fermi type theories for polymers and thin films

X. Blanc and C. Le Bris

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We define a Thomas-Fermi-von Weizsäcker model for polymers and thin films through a thermodynamic limit process. Our argument makes use of standard techniques for elliptic PDEs, such as maximum principles or supersolution methods. In the course of our work, we establish some existence and uniqueness results for a system of nonlinear PDEs.

Article information

Adv. Differential Equations, Volume 5, Number 7-9 (2000), 977-1032.

First available in Project Euclid: 27 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35J50: Variational methods for elliptic systems 35J60: Nonlinear elliptic equations 81V55: Molecular physics [See also 92E10]


Blanc, X.; Le Bris, C. Thomas-Fermi type theories for polymers and thin films. Adv. Differential Equations 5 (2000), no. 7-9, 977--1032.

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