Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
نویسندگان
چکیده
We give a new proof of the small excess regularity theorems for integer multiplicity recti able currents of arbitrary dimension and codimension minimizing an elliptic parametric variational integral. This proof does not use indirect blow-up arguments, it covers interior and boundary regularity, it applies to almost minimizing currents, and it gives an explicit and often optimal modulus of continuity for the derivative, i.e. for the tangent plane eld of the almost minimizing currents.
منابع مشابه
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