2017
Том 69
№ 6

All Issues

Group classification of quasilinear elliptic-type equations. I. Invariance with respect to Lie algebras with nontrivial Levi decomposition

Lahno V. I., Spichak S. V.

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Abstract

The problem of group classification of quasilinear elliptic-type equations in the two-dimensional space is considered. The list of all equations of this sort is obtained, which admit the semisimple Lie algebras of symmetry operators and the Lie algebras of symmetry operators with nontrivial Levi decomposition.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 11, pp 1719-1736.

Citation Example: Lahno V. I., Spichak S. V. Group classification of quasilinear elliptic-type equations. I. Invariance with respect to Lie algebras with nontrivial Levi decomposition // Ukr. Mat. Zh. - 2007. - 59, № 11. - pp. 1532–1545.

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