Establishes a continuity method for Hessian equation Dirichlet problems on manifolds by constructing admissible functions via Morse theory in type 2 cases without boundary or subsolution assumptions and approximating type 1 equations.
Regularity of fully non-linear elliptic equations on Hermitian manifolds
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On a continuity method for Dirichlet problem of Hessian equations
Establishes a continuity method for Hessian equation Dirichlet problems on manifolds by constructing admissible functions via Morse theory in type 2 cases without boundary or subsolution assumptions and approximating type 1 equations.