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

Daniela Di Donato

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arXiv · 2108.02298

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

Daniela Di Donato

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Abstract

We focus our attention on the notion of intrinsic Lipschitz graphs, inside a subclass of Carnot groups of step 2 which includes a 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 intrinsic Lipschitz map and a weak solution to a suitable non linear first order PDE system, which generalizes Lagrangian solution in the context of Heisenberg groups.

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Daniela Di Donato. 2021-08-04. Intrinsic Lipschitz maps vs. Lagrangian type solutions in Carnot groups of step 2. https://arxiv.org/abs/2108.02298

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