Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime
Autor: | Bartolo, Rossella, Caponio, Erasmo, Pomponio, Alessio |
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Rok vydání: | 2020 |
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Zdroj: | Proc. Amer. Math. Soc. 149 (2021), 5139-5151 |
Druh dokumentu: | Working Paper |
DOI: | 10.1090/proc/15745 |
Popis: | We consider a Dirichlet problem for the mean curvature operator in the Minkowski spacetime, obtaining a necessary and sufficient condition for the existence of a spacelike solution, with prescribed mean curvature, which is the graph of a function defined on a domain equal to the complement in $\mathbb R^n$ of the union of a finite number of bounded Lipschitz domains. The mean curvature $H=H(x,t)$ is assumed to have absolute value controlled from above by a locally bounded, $L^p$-function, $p\in [1,2n/(n+2)]$, $n\geq 3$. Comment: AMSLaTeX, 15 pages; v4: reference [37] updated |
Databáze: | arXiv |
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