| Title: | Vyšší Dimensional catenoid, Liouville rovnice a Allen-Cahn rovnice Higher-Dimensional Catenoid, Liouville Equation, and Allen–Cahn Equation |
| Authors: | Agudelo Rico, Oscar Iván del Pino, Manuel Wei, Juncheng |
| Issue Date: | 2016 |
| Publisher: | Oxford University Press |
| Document type: | postprint postprint |
| URI: | 2-s2.0-85016276344 http://hdl.handle.net/11025/30704 |
| ISSN: | 1073-7928 |
| Keywords: | Allen-Cahn rovnice, Vyšší rozměrová catenoid, Liouvilleova rovnice, redukce Ljapunovova Schmidt, minimální plochy. |
| Keywords in different language: | Allen-Cahn equation, higher dimensional catenoid, Liouville equation, Lyapunov Schmidt reduction, minimal surfaces. |
| Abstract: | Stavíme rodinu celých řešení rovnice Allen-Cahn v RN + 1 pro N≥3, jehož nulová úroveň se blíží vysoko-rozměrnému katenoidu v kompaktním regionu a má dva logaritmické konce řídicí se podle řešení Liouvillovy rovnice. |
| Abstract in different language: | We build a family of entire solutions to the Allen–Cahn equation in RN+1 for N≥3, whose zero level set approaches the higher-dimensional catenoid in a compact region and has two logarithmic ends governed by the solutions to the Liouville equation. |
| Rights: | © Oxford University Press |
| Appears in Collections: | Postprinty / Postprints (NTIS) OBD |
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|---|---|---|---|
| adw-highcatenoid-27-10-15.pdf | 467,28 kB | Adobe PDF | View/Open |
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