The Liouville theorem for the Cordes type elliptical system of high order
We study a quasilinear elliptic system in a Euclidean space with a Douglis—Nirenberg structure. We introduce a cordesicity condition for a system which guarantees that Liouville theorem holds: if the rate of growth of the generalized solution of a system at infinity is less than the limit rate which...
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9357 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We study a quasilinear elliptic system in a Euclidean space with a Douglis—Nirenberg structure. We introduce a cordesicity condition for a system which guarantees that Liouville theorem holds: if the rate of growth of the generalized solution of a system at infinity is less than the limit rate which depends on cordesicity indices, then this solution is a polynomial of a specific degree. |
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