标题： 内在Lipschitz映射与二步Carnot群中的拉格朗日型解 显示英文标题

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

摘要： 我们关注的是在二步Carnot群的一个子类中的内在Lipschitz图概念，该子类包括余维1的Carnot群（因此包括Heisenberg群）、二步自由群和复化Heisenberg群。更准确地说，我们证明了内在Lipschitz映射与适当非线性一阶PDE系统的一个弱解之间的等价性，这在Heisenberg群的背景下推广了Lagrangian解。 显示英文摘要

摘要： 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.