Abstract
In this paper, we use the Perron method to prove the existence of bounded multi-valued viscosity solutions to Hessian equations and interior Lipschitz continuity of the multi-valued solutions.
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Dai, L., Bao, J. Multi-valued solutions to Hessian equations. Nonlinear Differ. Equ. Appl. 18, 447–457 (2011). https://doi.org/10.1007/s00030-011-0103-8
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DOI: https://doi.org/10.1007/s00030-011-0103-8