Hessian estimate for semiconvex solutions to the sigma-2 equation
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Publication:2288101
DOI10.1007/S00526-019-1690-1zbMATH Open1433.35158arXiv1911.04246OpenAlexW2999420497WikidataQ114229046 ScholiaQ114229046MaRDI QIDQ2288101
Author name not available (Why is that?)
Publication date: 17 January 2020
Published in: (Search for Journal in Brave)
Abstract: We derive a priori interior Hessian estimates for semiconvex solutions to the sigma-2 equation. An elusive Jacobi inequality, a transformation rule under the Legendre-Lewy transform, and a mean value inequality for the still nonuniformly elliptic equation without area structure are the key to our arguments. Previously, this result was known for almost convex solutions.
Full work available at URL: https://arxiv.org/abs/1911.04246
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