This analysis extends viscosity solutions to equations with special Lagrangian and Laplacian operators.
Using the Lipschitz continuity of a class of viscosity solutions, we find a kind of viscosity solution for some higher-order partial differential equations containing the special Lagrangian operator. Additionally, we extend this analysis to equations that simultaneously contain the special Lagrangian and some other operators including Laplacian.
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Hosseini et al. (2025) studied this question.
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