March 14, 2024Open Access

Very weak solutions of the Dirichlet problem for 2-Hessian equation

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Abstract

For any small, we construct infinitely many C^1, very weak solutions to the 2-Hessian equation with prescribed boundary value. The proof relies on the convex integration method and cut-off technique.

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Li et al. (Thu,) studied this question.

synapsesocial.com/papers/68e7420ab6db6435876bb77e https://doi.org/https://doi.org/10.48550/arxiv.2403.09356

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