Article citationsMore>>

Lewicka, M. and Mahadevan, L. and Pakzad, M.R. (2017) The Monge-Ampère Constraint: Matching of Isometries, Density and Regularity, and Elastic Theories of Shallow Shells. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 34, 45-67.
https://doi.org/10.1016/j.anihpc.2015.08.005

has been cited by the following article:

• TITLE: On Symmetry Reduction of the (1 + 3)-Dimensional Inhomogeneous Monge-Ampère Equation to the First-Order ODEs

  AUTHORS: Vasyl M. Fedorchuk, Volodymyr I. Fedorchuk

  KEYWORDS: Symmetry Reduction, Invariant Solutions, Monge-Ampère Equation, Classification of Lie Algebras, Poincaré Group P(1, 4)

  JOURNAL NAME: Applied Mathematics, Vol.11 No.11, November 25, 2020

  ABSTRACT: We present the results obtained concerning the classification of symmetry reduction of the (1 + 3)-dimensional inhomogeneous Monge-Ampère equation to first-order ODEs. Some classes of the invariant solutions are constructed.