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- W3034691454 abstract "We study the minimizer of the electrostatic Born--Infeld energy begin{equation*} int_{mathbb{R}^n}1-sqrt{1-|D v|^2} dx-int_{mathbb{R}^n}rho v dx, end{equation*} which vanishes at infinity. We show that the minimizer $u$ is strictly spacelike and it is a weak solution to begin{equation*}-operatorname{div}Big(frac{D u}{sqrt{1-|D u|^2}}Big)=rho,end{equation*} provided that $rho$ is in the dual space of the solution space and $rhoin L^p(mathbb{R}^n)$, for some $p>ngeq 3$. Moreover, we have $uin C^{1,alpha}(mathbb{R}^n)$ for some $alphain (0,1)$." @default.
- W3034691454 created "2020-06-19" @default.
- W3034691454 creator A5083153207 @default.
- W3034691454 date "2020-06-15" @default.
- W3034691454 modified "2023-09-27" @default.
- W3034691454 title "The electrostatic Born-Infeld equations with integrable charge densities" @default.
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