Summary: COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Vol. 1, No. 1, pp. 1-5
Commun. Comput. Phys.
A Remark on An Efficient Real Space Method for
Orbital-Free Density-Functional Theory, by C.J. Garc´ia-
Carlos J. Garc´ia-Cervera
Mathematics Department, University of California, Santa Barbara, CA 93106.
Abstract. In this short note we clarify some issues regarding the existence of mini-
mizers for the Thomas-Fermi-von Weiszacker energy functional in orbital-free density
functional theory, when the Wang-Teter corrections are included.
In  it was claimed that there always exists a minimizer; however, the statement of
Theorem 2.1 is incomplete. In this note we present the full statement, with a detailed
The theorem stated in  holds as long as the number of electrons is below a certain
critical value. The correct statement for the theorem in  is:
Theorem 1.1 (Existence of minimizers). Given v C(), and KWT L2