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arXiv · 1410.0598

Sharp lower bounds for Coulomb energy

Jacopo Bellazzini·Marco Ghimenti·Tohru Ozawa
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Abstract

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.

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Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa. 2015-06-03. Sharp lower bounds for Coulomb energy. https://arxiv.org/abs/1410.0598

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