The asymptotic behavior of viscosity solutions of Monge-Ampère equations in half space
From MaRDI portal
Publication:1996288
DOI10.1016/j.na.2020.112229zbMath1473.35326OpenAlexW3116410082MaRDI QIDQ1996288
Publication date: 4 March 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.112229
Related Items
Asymptotic behavior of solutions of Monge-Ampère equations with general perturbations of boundary values ⋮ Existence of entire solutions to the Lagrangian mean curvature equations in supercritical phase ⋮ On the existence and asymptotic behavior of viscosity solutions of Monge-Ampère equations in half spaces ⋮ Entire solutions to the parabolic Monge-Ampère equation with unbounded nonlinear growth in time
Cites Work
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- 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
- A Calabi theorem for solutions to the parabolic Monge-Ampère equation with periodic data
- An extension of Jörgens-Calabi-Pogorelov theorem to parabolic Monge-Ampère equation
- On the exterior Dirichlet problem for Hessian quotient equations
- Asymptotic behavior at infinity of solutions of Monge-Ampère equations in half spaces
- A Bernstein problem for special Lagrangian equations in exterior domains
- Asymptotic behavior on a kind of parabolic Monge-Ampère equation
- The exterior Dirichlet problem for fully nonlinear elliptic equations related to the eigenvalues of the Hessian
- 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
- Complete affine hypersurfaces. Part I. The completeness of affine metrics
- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
- On the exterior Dirichlet problem for special Lagrangian equations
- Unnamed Item
- Unnamed Item
