existence of infinitely many distinct solutions to the quasirelativistic hartree-fock equations

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ID: 208251
2009
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Abstract
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 hypotheses that the total charge Ztot of K nuclei is greater than N−1 and that Ztot is smaller than a critical charge Zc. The proofs are based on a new application of the Fang-Ghoussoub critical point approach to multiple solutions on a noncompact Riemannian manifold, in combination with density operator techniques.
Reference Key
enstedt2009internationalexistence Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;M. Enstedt;M. Melgaard
Journal structural engineering and mechanics
Year 2009
DOI
10.1155/2009/651871
URL
http://dx.doi.org/10.1155/2009/651871
Keywords
mathematics

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