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In this paper, we establish rectifiability of the jump set of an S
1–valued conservation law in two space–dimensions. This conservation law is a reformulation of the eikonal equation and is motivated by the singular limit of a class of variational problems. The only assumption on the weak...
We prove the existence of minimal and rigid singular holomorphic foliations by curves on the projective space ℂℙ
for every dimension n≥2 and every degree d≥2. Precisely, we construct a foliation ℱ which is induced by a homogeneous vector field of degree d, has a finite singular set and all the...
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