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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2005 Volume 1, 022, 12 pp. (Mi sigma22)
This article is cited in 8 papers

Noether Symmetries and Critical Exponents

Yuri Bozhkov

Departamento de Matemática Aplicada - DMA, Instituto de Matemática, Estatistica e Computação Científica - IMECC, Universidade Estadual de Campinas - UNICAMP, C.P. 6065, 13083-970 - Campinas - SP, Brasil

Abstract: We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.

Keywords: divergence symmetry; critical exponents.

MSC: 34C14; 35A15

Received: October 3, 2005; in final form November 19, 2005; Published online November 25, 2005

Language: English

DOI: 10.3842/SIGMA.2005.022



Bibliographic databases:
ArXiv: nlin.SI/0511058

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