The Dirichlet problem for prescribed curvature equations of $p$-convex hypersurfaces

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Geometric plurisubharmonicity and convexity: an introduction
Hypersurfaces of prescribed curvature measure
Form-type equations on Kähler manifolds of nonnegative orthogonal bisectional curvature
Interior curvature bounds for a class of curvature equations
Embedded hyperspheres with prescribed mean curvature
Curvature estimates for a class of Hessian type equations
Starshaped compact hypersurfaces with prescribed $k$-th mean curvature in hyperbolic space
Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
P-convex Riemannian manifolds
Differentiability properties of symmetric and isotropic functions
Sur les équations de Monge-Ampère. (About the Monge-Ampère equations)
The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
Handlebodies and p-convexity
Interior gradient estimates for mean curvature equations
The Dirichlet problem for the prescribed curvature quotient equations
Hypersurfaces of prescribed Weingarten curvature
Gauduchon metrics with prescribed volume form
Starshaped compact hypersurfaces with prescribed Weingarten curvature in warped product manifolds
Convex hypersurfaces of prescribed curvatures
Spacelike hypersurfaces with constant Gauss-Kronecker curvature in the Minkowski space
Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
A class of curvature type equation
Entire spacelike hypersurfaces with constant $\sigma_k$ curvature in Minkowski space
The Dirichlet problem for a class of prescribed curvature equations
Form-type Calabi-Yau equations
Hermitian metrics, $(n-1,n-1)$ forms and Monge-Ampère equations
The Dirichlet problem for the prescribed curvature equations
Interior gradient estimates for solutions of certain fully nonlinear elliptic equations
The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold
Locally convex hypersurfaces of constant curvature with boundary
An introduction to potential theory in calibrated geometry
SOLUTION OF THE DIRICHLET PROBLEM FOR CURVATURE EQUATIONS OF ORDER $ m$
The Existence of Convex Body with Prescribed Curvature Measures
The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
Hypersurfaces in IRⁿ⁺¹with prescribed gaussian curvature and related equations of monge—ampére type
On the curvature estimates for Hessian equations
Global C²‐Estimates for Convex Solutions of Curvature Equations
p-convexity, p-plurisubharmonicity, and the Levi problem
Curvature estimates for $p$-convex hypersurfaces of prescribed curvature

This page was built for publication: The Dirichlet problem for prescribed curvature equations of $p$-convex hypersurfaces

The Dirichlet problem for prescribed curvature equations of \(p\)-convex hypersurfaces