Abstract
A viscosity approach is introduced for the Dirichlet problem associated to complex Hessian-type equations on domains in . The arguments are modeled on the theory of viscosity solutions for real Hessian-type equations developed by Trudinger (1990). As a consequence we solve the Dirichlet problem for the Hessian quotient and special Lagrangian equations. We also establish basic regularity results for the solutions.
Citation
Sławomir Dinew. Hoang-Son Do. Tat Dat Tô. "A viscosity approach to the Dirichlet problem for degenerate complex Hessian-type equations." Anal. PDE 12 (2) 505 - 535, 2019. https://doi.org/10.2140/apde.2019.12.505
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