• Corpus ID: 119629763

A Symmetry Analysis of the $\infty$-Polylaplacian

  title={A Symmetry Analysis of the \$\infty\$-Polylaplacian},
  author={Georgios Papamikos and Tristan Pryer},
  journal={arXiv: Mathematical Physics},
In this work we use Lie group theoretic methods and the theory of prolonged group actions to study two fully nonlinear partial differential equations (PDEs). First we consider a third order PDE in two spatial dimensions that arises as the analogue of the Euler-Lagrange equations from a second order variational principle in $L^{\infty}$. The equation, known as the $\infty$-Polylaplacian, is a higher order generalisation of the $\infty$-Laplacian, also known as Aronsson's equation. In studying… 

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