Formulation variationnelle de systèmes Schrödinger-Poisson en dimension d≤3
[Variational formulation of Schrödinger-Poisson systems in dimension $d\le 3$]
Journées équations aux dérivées partielles (1992), article no. 18, 10 p. 
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     author = {Francis Nier},
     title = {Formulation variationnelle de syst\`emes {Schr\"odinger-Poisson} en dimension $d\le 3$},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {18},
     publisher = {\'Ecole polytechnique},
     year = {1992},
     doi = {10.5802/jedp.436},
     zbl = {0823.35154},
     language = {fr},
     url = {https://jedp.centre-mersenne.org/articles/10.5802/jedp.436/}
}
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Francis Nier. Formulation variationnelle de systèmes Schrödinger-Poisson en dimension $d\le 3$. Journées équations aux dérivées partielles (1992), article  no. 18, 10 p. doi : 10.5802/jedp.436. https://jedp.centre-mersenne.org/articles/10.5802/jedp.436/

[1] A. Adams, Sobolev Spaces, Academic Press, New-York, (1975). | Zbl: 0314.46030

[2] S. Agmon, Spectral Properties of Schrödinger Operators and Scattering Theory, Ann. Scuola Normale di Pisa 2 2 (1975), 151-218. | Numdam | MR: 53 #1053 | Zbl: 0315.47007

[3] J. Chazarain, A. Piriou, Introduction à la théorie des équations aux dérivées partielles linéaires, Gauthiers-Villars, Paris (1981). | MR: 82i:35001 | Zbl: 0446.35001

[4] C. Gérard, Sharp propagation estimates for N-particles systems, Preprint-CMAT Ecole Polytechnique (1990). | Zbl: 0760.35049

[5] B. Helffer, J. Sjöstrand, Equation de Harper, Lect. Notes in Physics, Springer 345 (1989), 118-197. | Zbl: 0699.35189

[6] T. Kerkhoven, A. T. Galick, V. Ravaioli, J. H. Arends, Y. Saad, Efficient numerical simulation of electrons states in quantum wires, J. Appl. Phys. 68 (1990), 3461-3469.

[7] F. Nier, A Variational Formulation of Schrödinger-Poisson Systems in Dimension d ≤ 3, Techn. Report # 136, Purdue University, Rapport interne du CMAP N 253, Ecole Polytechnique, submitted to Commun. in PDE. | Zbl: 0785.35086

[8] F. Nier, Schrödinger-Poisson Systems in Dimension d ≤ 3 : the Whole-Space Case, manuscript. | Zbl: 0807.35119

[9] L. Nirenberg, On elliptic partial differential equations, Ann. Scuola Sup. Pisa 13 (1959), 116-162. | Numdam | MR: 22 #823 | Zbl: 0088.07601

[10] M. Reed, B. Simon, Methods of Modern Mathematical Physics, Academic Press, New-York, San Francisco, Londres (1975). | Zbl: 0308.47002

[11] B. Simon, Trace Ideals and Applications, Cambridge University Press (1978).

[12] B. Vinter, Subbands and charge control in a two-dimensional electron gas field effect transistor, Appl. Phy. Let. 44 (1987), P. 307.

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