Abstract: In this talk I will outline the iterative construction of a C^1, bounded function u, whose gradient coincides with a prescribed vectorfield F on a Cantor-type set C. It is transparent from the construction the presence of a trade off between the size of C and the Hölder regularity of the gradient of u. This type of construction is the building block for counterexamples to Frobenius theorem when the tangency set is not regular enough.
 

For further information please contact elisur.magrini@unibocconi.it