Interior gradient regularity for BV minimizers of singular variational problems
نویسندگان
چکیده
We consider a class of vectorial integrals with linear growth, where, as a key feature, some degenerate/singular behavior is allowed. For generalized minimizers of these integrals in BV, we establish interior gradient regularity and — as a consequence — uniqueness up to constants. In particular, these results apply, for 1 < p < 2, to the singular model integrals ∫ Ω (1 + |∇w(x)|) 1 p dx . MSC (2010): 49N60 (primary); 35J75, 26B30 (secondary)
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تاریخ انتشار 2015