Mathematics – Analysis of PDEs
Scientific paper
2009-10-30
Mathematics
Analysis of PDEs
40 pages
Scientific paper
We give a new, simpler proof of the main approximation theorem for area
minimizing current contained in Almgren's Big regularity paper. Our proof
relies on a new estimate concerning the higher integrability of the quantity
called here the excess density, which in turn we link to an analogous property
of harmonic multiple valued functions.
Lellis Camillo de
Spadaro Emanuele Nunzio
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