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Lie Symmetries and Criticality of Semilinear Differential Systems
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Pokhozhaev identities; Noether identity; critical exponents. 
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     author = {Yuri Bozhkov and Enzo Mitidieri},
     title = {Lie {Symmetries} and {Criticality} of {Semilinear} {Differential} {Systems}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a52/}
}
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Yuri Bozhkov; Enzo Mitidieri. Lie Symmetries and Criticality of Semilinear Differential Systems. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a52/

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