Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime
| Autor: | Bartolo, Rossella, Caponio, Erasmo, Pomponio, Alessio |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| 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 |
| Externí odkaz: |
|