Plateau-quasi-minimizers in co-dimension one are characterized, up to the boundary, by bi-John domains with Ahlfors regular boundaries.
Convex functions: constructions, characterizations and counterexamples , volume 109
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Optimal regularity up to the boundary for Plateau-quasi-minimizers
Plateau-quasi-minimizers in co-dimension one are characterized, up to the boundary, by bi-John domains with Ahlfors regular boundaries.