Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations

DOI10.1186/S13661-022-01619-9zbMath1497.35290OpenAlexW4293052845MaRDI QIDQ2153890

Publication date: 13 July 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-022-01619-9

zbMATH Keywords

exterior Dirichlet problem Hessian equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Monge-Ampère equations (35J96)

Cites Work

Global solutions and exterior Dirichlet problem for Monge-Ampère equation in \(\mathbb{R}^2\).
The exterior Dirichlet problem for Hessian quotient equations
Monge-Ampère equation on exterior domains
The Dirichlet problem for Hessian quotient equations in exterior domains
On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains
On the exterior Dirichlet problem for the Monge-Ampère equation in dimension two
Partial decay on simple manifolds
An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres
The space of parabolic affine spheres with fixed compact boundary
The Bernstein problem for affine maximal hypersurfaces
On the exterior Dirichlet problem for Hessian quotient equations
Existence and nonexistence to exterior Dirichlet problem for Monge-Ampère equation
On the exterior Dirichlet problem for Monge-Ampère equations
Existence of entire solutions of Monge-Ampère equations with prescribed asymptotic behavior
Hessian equations on exterior domain
On the improper convex affine hyperspheres
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
On the exterior Dirichlet problem for Hessian equations
Existence of solutions with asymptotic behavior of exterior problems of Hessian equations
Complete affine hypersurfaces. Part I. The completeness of affine metrics
An extension to a theorem of Jörgens, Calabi, and Pogorelov
Necessary and sufficient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains
Some aspects of the global geometry of entire space-like submanifolds

This page was built for publication: Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations