# Intrinsic Lipschitz maps vs. Lagrangian type solutions in Carnot groups of step 2

@inproceedings{Donato2021IntrinsicLM, title={Intrinsic Lipschitz maps vs. Lagrangian type solutions in Carnot groups of step 2}, author={Daniela Di Donato}, year={2021} }

We focus our attention on the notion of intrinsic Lipschitz graphs, inside a subclass of Carnot groups of step 2 which includes corank 1 Carnot groups (and so the Heisenberg groups), Free groups of step 2 and the complexified Heisenberg group. More precisely, we prove the equivalence between an intrinsic Lipschitz map and a suitable notion of weak solution of a Burgers’ type PDE, which generalizes the Lagrangian solution in the context of Heisenberg groups.

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