Abstract
AbstractWe establish partial regularity for the $$\omega $$
ω
-minimizers of quasiconvex functionals of power growth. A first-order partial regularity result of BV$$\omega $$
ω
-minimizers is obtained in the linear growth case under a Dini-type condition on $$\omega $$
ω
. Only assuming the smallness of $$\omega $$
ω
near the origin, we show partial Hölder continuity in the subquadratic case by considering a normalised excess.
Funder
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
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