Lie Symmetries and Criticality of Semilinear Differential Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Bozhkov, Y., Mitidieri, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147807
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lie Symmetries and Criticality of Semilinear Differential Systems / Y. Bozhkov, E. Mitidieri // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 39 назв. — англ.

We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the S. Lie symmetry theory. We show that this de...