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

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Ukrainian Mathematical Journal Aims and scope

We study the problem of group classification of quasilinear elliptic equations in a two-dimensional space. The list of all equations of this type admitting solvable Lie algebras of symmetry operators is obtained. Together with the results obtained earlier by the authors, these results give a complete solution of the problem of group classification of quasilinear elliptic equations.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 2, pp. 200–215, February, 2011.

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Lahno, V.I., Spichak, S.V. Group classification of quasilinear elliptic-type equations. II. Invariance under solvable Lie algebras. Ukr Math J 63, 236–253 (2011). https://doi.org/10.1007/s11253-011-0501-4

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  • DOI: https://doi.org/10.1007/s11253-011-0501-4

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