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

  • V. I. Lagno Полтав. пед. ун-т
  • S. V. Spichak Iн-т математики НАН України, Київ

Abstract

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 authors earlier give a complete solution of the problem of the group classification of quasilinear elliptic-type equations.
Published
25.02.2011
How to Cite
Lagno, V. I., and S. V. Spichak. “Group Classification of Quasilinear Elliptic-Type Equations. II. Invariance under Solvable Lie Algebras”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 2, Feb. 2011, pp. 200-15, https://umj.imath.kiev.ua/index.php/umj/article/view/2711.
Section
Research articles