Sharp lower bounds for Coulomb energy
  We prove $L^p$ lower bounds for Coulomb energy for radially symmetric functions in $\dot H^s(\R^3)$ with $\frac 12 <s<\frac{3}{2}$. In case $\frac 12 <s \leq 1$ we show that the lower bounds are sharp. 
Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa
math.AP math-ph math.MP