Symmetry in Nonlinear Mathematical Physics - 2009

Stanislav Spichak (Institute of Mathematics, Kyiv, Ukraine)
Viktor Lahno (Poltava State Pedagogical University, Ukraine)

Quasi-linear elliptic type equations invariant under solvable Lie algebras

The problem of group classification of quasi-linear elliptic type equations in two-dimensional space is considered. The list of all equations of this type is obtained, which admit solvable Lie algebras of symmetry operators with dimension up to five.