 
Summary: COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Vol. 1, No. 1, pp. 15
Commun. Comput. Phys.
February 2006
A Remark on An Efficient Real Space Method for
OrbitalFree DensityFunctional Theory, by C.J. Garc´ia
Cervera
Carlos J. Garc´iaCervera
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 ThomasFermivon Weiszacker energy functional in orbitalfree density
functional theory, when the WangTeter corrections are included.
1 Introduction
In [1] 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
proof.
The theorem stated in [1] holds as long as the number of electrons is below a certain
critical value. The correct statement for the theorem in [1] is:
Theorem 1.1 (Existence of minimizers). Given v C(), and KWT L2
loc(R3),
