A viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations
A viscosity approach is introduced for the Dirichlet problem associated to complex Hessian type equations on domains in \(\C^n\). The arguments are modelled on the theory of viscosity solutions for real Hessian type equations developed by Trudinger. As consequence we solve the Dirichlet problem for...
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| creator | Dinew, Slawomir Hoang-Son Do Tat Dat To |
| description | A viscosity approach is introduced for the Dirichlet problem associated to complex Hessian type equations on domains in \(\C^n\). The arguments are modelled on the theory of viscosity solutions for real Hessian type equations developed by Trudinger. As consequence we solve the Dirichlet problem for the Hessian quotient and special Lagrangian equations. We also establish basic regularity results for the solutions. |
| doi_str_mv | 10.48550/arxiv.1712.08572 |
| format | Article |
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| subjects | Dirichlet problem Domains Euler-Lagrange equation Mathematics - Analysis of PDEs Mathematics - Complex Variables Viscosity |
| title | A viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations |
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