The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds

DOI10.3934/dcds.2016.36.701zbMath1323.58014OpenAlexW2339270996MaRDI QIDQ495783

Bo Guan, Heming Jiao

Publication date: 15 September 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.701

zbMATH Keywords

concavityDirichlet problemsubsolutions\textit{a priori} estimatesfully nonlinear elliptic equations on Riemannian manifolds

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) PDEs on manifolds (35R01)

Related Items

The obstacle problem for conformal metrics on compact Riemannian manifolds ⋮ The first initial-boundary value problem for Hessian equations of parabolic type on Riemannian manifolds ⋮ On a class of Hessian type equations on Riemannian manifolds ⋮ A priori estimates for the obstacle problem of hessian type equations on Riemannian manifolds ⋮ The Dirichlet problem for a class of Hessian type equations ⋮ On the Dirichlet problem for general augmented Hessian equations ⋮ On a class of obstacle problem for Hessian equations on Riemannian manifolds ⋮ On the viscosity approach to a class of fully nonlinear elliptic equations ⋮ On a class of Hessian quotient type equations on Riemannian manifolds ⋮ Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates ⋮ On estimates for augmented Hessian type parabolic equations on Riemannian manifolds ⋮ Second order estimates for Hessian equations of parabolic type on Riemannian manifolds ⋮ 𝐶^{1,1} regularity for an obstacle problem of Hessian equations on Riemannian manifolds

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