Distinct solutions to generated Jacobian equations cannot intersect
| Autor: | Rankin, Cale |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Bull. Aust. Math. Soc. 102 (2020) 462-470 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/S0004972720000052 |
| Popis: | We prove that if two $C^{1,1}(\Omega)$ solutions of the second boundary value problem for the generated Jacobian equation intersect in $\Omega$ then they are the same solution. In addition we extend this result to $C^{2}(\overline{\Omega})$ solutions intersecting on the boundary, via an additional convexity condition on the target domain. Comment: Submitted Bulletin of the Australian Mathematical Society November 2019. Accepted December 2019 |
| Databáze: | arXiv |
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