Abstract
We study the regularity of the solutions of the Levi equation in ℝ2n+1. It is a second order quasilinear equation whose characteristic matrix is positive semidefinite and has vanishing determinant at every point and for every functionu∈C2. We show that the operator associated to the equation can be represented as a sum of squares of non linear vector fields. Then, by using a freezing method, we prove theC∞ regularity of the solutions.
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