Preliminary group classification of general two-dimensional quasi-linear elliptic type equations

• Date: 2006
• Author Affiliations: S. Spichak
• Keywords: keywords
• Main Authors: Spichak, S., Спічак, С.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/472
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In the paper the problem of group classification of quasi-linear elliptic type equations in two-dimensional space is considered. We obtain the list of all equations of this type admitting semisimple Lie algebras of symmetry operators and Lie algebras of symmetry operators with non-trivial Levi decom...