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arXiv · 1105.3960

Lorentz space estimates for the Coulombian renormalized energy

Sylvia Serfaty·Ian Tice
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Abstract

In this paper we obtain optimal estimates for the "currents" associated to point masses in the plane, in terms of the Coulombian renormalized energy of Sandier-Serfaty \cite{ss1,ss3}. To derive the estimates, we use a technique that we introduced in \cite{st}, which couples the "ball construction method" to estimates in the Lorentz space $L^{2,\infty}$.

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Sylvia Serfaty, Ian Tice. 2011-05-19. Lorentz space estimates for the Coulombian renormalized energy. https://arxiv.org/abs/1105.3960

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