Lie Symmetries and Criticality of Semilinear Differential Systems

Symmetry, Integrability and Geometry: Methods and Applications

关键词: Pokhozhaev identities;    Noether identity;    critical exponents;   

DOI  :  

来源: DOAJ

【 摘 要 】

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 definition is compatible with the well-known notion of critical exponent by considering various examples. We also review some related recent papers.

【 授权许可】

Unknown