The Liouville theorem for the Cordes type elliptical system of high order

• Datum: 2025
• Hauptverfasser: Kalita , E. A., Калита , Е. А.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2025
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/9357
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...