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Partial regularity and everywhere continuity for a model problem from non-linear elasticity
Abstract We prove a new energy or Caccioppoli type estimate for minimisers of the model functional ∫ Ω | Du | 2 + (det Du ) 2 , where Ω ⊂ 2 and u : Ω → 2 . We apply this to establish C ∞ regularity for minimisers except …