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

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 dec...

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Bibliographic Details
Date:	2007
Main Authors:	Lahno, V. I., Spichak, S. V., Лато, В. І., Спічак, С. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3409
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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