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arxiv: 1704.00273 · v1 · pith:LM5NCI32new · submitted 2017-04-02 · 🧮 math.AP

C^(1,α) h-principle for von K\'arm\'an constraints

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keywords nablaalphaconnectionsconstraintsconstructionconvexcorrespondingdimensions
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Exploiting some connections between the system $\nabla v\otimes\nabla v + 2$ sym $\nabla w = A$ and the isometric immersion problem in two dimensions, we provide a simple construction of $C^{1,\alpha}$ convex integration solutions for the former from the corresponding result for the latter.

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