Very weak solutions of the Dirichlet problem for 2-Hessian equation
Tongtong Li, Guohuan Qiu
公開日: 2024/3/14
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.