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

Published 14 Mar 2024 in math.AP | (2403.09356v1)

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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