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Hessian estimates to special Lagrangian equation on general phases with constraints

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Abstract

We obtain a priori interior Hessian estimates to the special Lagrangian equation on general phases with constraints. Our results extend the classical conclusion that the estimates hold when the phase is critical/supercritial.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China

    Xingchen Zhou

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  1. Xingchen Zhou
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Correspondence to Xingchen Zhou.

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Communicated by L. Caffarelli.

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Zhou, X. Hessian estimates to special Lagrangian equation on general phases with constraints. Calc. Var. 61, 4 (2022). https://doi.org/10.1007/s00526-021-02111-5

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  • DOI: https://doi.org/10.1007/s00526-021-02111-5

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