2017
Том 69
№ 6

All Issues

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

Lagno V. I., Spichak S. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 2, pp 236-253.

Citation Example: Lagno V. I., Spichak S. V. Group classification of quasilinear elliptic-type equations. II. Invariance under solvable Lie algebras // Ukr. Mat. Zh. - 2011. - 63, № 2. - pp. 200-215.

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