Existence of Infinitely Many Distinct Solutions to the Quasirelativistic Hartree-Fock Equations
We establish existence of infinitely many distinct solutions to the semilinear elliptic Hartree-Fock equations for N-electron Coulomb systems with quasirelativistic kinetic energy −α−2Δxn+α−4−α−2 for the nth electron. Moreover, we prove existence of a ground state. The results are valid under the h...
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Main Authors: | M. Enstedt, M. Melgaard |
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Format: | Article |
Language: | English |
Published: |
Wiley
2009-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2009/651871 |
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