@incollection{JEDP_1992____A18_0, author = {Nier, Francis}, title = {Formulation variationnelle de syst\`emes {Schr\"odinger-Poisson} en dimension $d\le 3$}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {18}, pages = {1--10}, publisher = {Ecole polytechnique}, year = {1992}, zbl = {0823.35154}, language = {fr}, url = {http://www.numdam.org/item/JEDP_1992____A18_0/} }
TY - JOUR AU - Nier, Francis TI - Formulation variationnelle de systèmes Schrödinger-Poisson en dimension $d\le 3$ JO - Journées équations aux dérivées partielles PY - 1992 SP - 1 EP - 10 PB - Ecole polytechnique UR - http://www.numdam.org/item/JEDP_1992____A18_0/ LA - fr ID - JEDP_1992____A18_0 ER -
Nier, Francis. Formulation variationnelle de systèmes Schrödinger-Poisson en dimension $d\le 3$. Journées équations aux dérivées partielles (1992), article no. 18, 10 p. http://www.numdam.org/item/JEDP_1992____A18_0/
[1] Sobolev Spaces, Academic Press, New-York, (1975). | Zbl
,[2] Spectral Properties of Schrödinger Operators and Scattering Theory, Ann. Scuola Normale di Pisa 2 2 (1975), 151-218. | Numdam | MR | Zbl
,[3] Introduction à la théorie des équations aux dérivées partielles linéaires, Gauthiers-Villars, Paris (1981). | MR | Zbl
, ,[4] Sharp propagation estimates for N-particles systems, Preprint-CMAT Ecole Polytechnique (1990). | Zbl
,[5] Equation de Harper, Lect. Notes in Physics, Springer 345 (1989), 118-197. | Zbl
, ,[6] Efficient numerical simulation of electrons states in quantum wires, J. Appl. Phys. 68 (1990), 3461-3469.
, , , , ,[7] 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
,[8] Schrödinger-Poisson Systems in Dimension d ≤ 3 : the Whole-Space Case, manuscript. | Zbl
,[9] On elliptic partial differential equations, Ann. Scuola Sup. Pisa 13 (1959), 116-162. | Numdam | MR | Zbl
,[10] Methods of Modern Mathematical Physics, Academic Press, New-York, San Francisco, Londres (1975). | Zbl
, ,[11] Trace Ideals and Applications, Cambridge University Press (1978).
,[12] Subbands and charge control in a two-dimensional electron gas field effect transistor, Appl. Phy. Let. 44 (1987), P. 307.
,