TY - JOUR
AB - We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers.
AU - Nam, Phan
AU - Van Den Bosch, Hanne
ID - 1079
IS - 2
JF - Mathematical Physics, Analysis and Geometry
SN - 13850172
TI - Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges
VL - 20
ER -