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Screening of an applied electric field inside a metallic layer described by the Thomas-Fermi-von Weizsäcker model.

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Publication:1405982
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zbMath1174.82342MaRDI QIDQ1405982

Régis Monneau, Xavier Blanc

Publication date: 8 September 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)


zbMATH Keywords

electric fieldvariational methodsexponential decayThomas-Fermi-von Weizsäcker theory


Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of solids (82D20) Statistical mechanics of metals (82D35) Variational methods for second-order elliptic equations (35J20)


Related Items (3)

Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates ⋮ Locality of the Thomas-Fermi-von Weizsäcker equations ⋮ Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions







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