C^(1,α) h-principle for von K\'arm\'an constraints
classification
🧮 math.AP
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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