Uniform a priori estimates for positive solutions of the Lane-Emden system in the plane
| Autor: | Kamburov, Nikola, Sirakov, Boyan |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove that positive solutions of the superlinear Lane-Emden system in a two-dimensional smooth bounded domain are bounded independently of the exponents in the system, provided the exponents are comparable. As a consequence, the energy of the solutions is uniformly bounded. In addition, the boundedness may fail if the exponents are not comparable. Comment: 21 pages |
| Databáze: | arXiv |
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