Higher Order Variational Problems on Two-dimensional Domains

Abstract

where ∇w represents the tensor of all k order (weak) partial derivatives. Our main concern is the investigation of the smoothness properties of such local minimizers under suitable assumptions on the energy density f . For the first order case (i.e. k = 1) we have rather general results which can be found for example in the textbooks of Morrey [Mo… (More)

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