Group classification of quasilinear elliptic-type equations. II. Invariance under solvable Lie algebras

• Datum: 2011
• Hauptverfasser: Lagno, V. I., Spichak, S. V., Лагно, В. I., Спічак, С. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2711
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The problem of the group classification of quasilinear elliptic-type equations in a two-dimensional space is considered. The list of all equations of this type, which admit the solvable Lie algebras of symmetry operators, is obtained. The results of this paper along with results obtained by the auth...