# A Symmetry Analysis of the $\infty$-Polylaplacian

@article{Papamikos2017ASA, title={A Symmetry Analysis of the \$\infty\$-Polylaplacian}, author={Georgios Papamikos and Tristan Pryer}, journal={arXiv: Mathematical Physics}, year={2017} }

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…

## One Citation

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