2 problems

Matching

Nonvanishing of minimizers of the approximate Levy-Lieb functional
At least 4 years old
Nonvanishing-minimizer conjecture. Any minimizer $\psi$ of $F^{\boldsymbol{\alpha},(0)}(r)$ satisfies
opendensity-functional-theory levy-lieb-functional many-body-quantum-mechanics
012
Continuity of the Levy-Lieb and Lieb functionals
About 5 years old
Continuity conjecture. If
opendensity-functional-theory functional-analysis levy-lieb-functional
013