Regularity Theory for Mass-minimizing Currents (after Almgren-de Lellis-spadaro)
نویسنده
چکیده
1. Background: the H. Federer-W. Fleming theory of currents 3 2. Codimension 1 regularity theory 6 2.1. Excess and -regularity theorem 6 2.2. Lipschitz approximation and comparison with harmonic functions 7 2.3. Monotonicity and tangent cones 8 2.4. Persistence of singularities and dimension reduction 8 3. Codimension n > 1 regularity theory 10 3.1. The basic examples and the new difficulties 10 3.2. Q-valued functions 12 3.3. Approximation of area-minimizing currents 16 3.4. Center manifold and normal approximation 18 3.5. Strategy of proof 19 4. Open problems 20 References 21
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تاریخ انتشار 2015