Variational models for prestrained plates with Monge-Amp\`ere constraint
Abstract
We derive a new model for pre-strained thin films, which consists of minimizing a biharmonic energy of deformations v∈ W2,2 satisfying the Monge-Amp\`ere constraint ∇2v = f. We further discuss multiplicity properties of the minimizers of this model, in some special cases.
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