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arXiv · 2403.09356

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

Tongtong Li·Guohuan Qiu
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Abstract

For any $\alpha $ small, we construct infinitely many $C^{1,\alpha}$ 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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Tongtong Li, Guohuan Qiu. 2024-03-14. Very weak solutions of the Dirichlet problem for 2-Hessian equation. https://arxiv.org/abs/2403.09356

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