Asymptotic behavior at infinity of solutions of Monge-Ampère equations in half spaces
From MaRDI portal
Publication:1986508
DOI10.1016/j.jde.2019.12.007zbMath1440.35186arXiv1808.02643OpenAlexW2998404186MaRDI QIDQ1986508
Dongsheng Li, Xiaobiao Jia, Zhisu Li
Publication date: 8 April 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.02643
Related Items
On the classification of symmetry reductions for the \((1+3)\)-dimensional Monge-Ampère equation ⋮ Liouville type theorems of fully nonlinear elliptic equations in half spaces ⋮ Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation ⋮ Existence of entire solutions to the Lagrangian mean curvature equations in supercritical phase ⋮ A Liouville theorem of the 2-Hessian equation in half-space ⋮ THE GROWTH OF SOLUTIONS OF MONGE–AMPÈRE EQUATIONS IN HALF SPACES AND ITS APPLICATION ⋮ On the existence and asymptotic behavior of viscosity solutions of Monge-Ampère equations in half spaces ⋮ Unnamed Item ⋮ Asymptotic behavior of solutions of fully nonlinear equations over exterior domains ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ A Liouville theorem of parabolic Monge-Ampère equations in half-space ⋮ The asymptotic behavior of viscosity solutions of Monge-Ampère equations in half space ⋮ Asymptotic behaviors of solutions of non-divergence elliptic equations in cones
Cites Work
- Unnamed Item
- Unnamed Item
- On isolated singularities of solutions of second order elliptic differential equations
- 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 localization theorem and boundary regularity for a class of degenerate Monge-Ampere equations
- 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 \({r t - s^2 = 1}\)
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- 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
- Partial Regularity for Singular Solutions to the Monge‐Ampère Equation