A Calabi theorem for solutions to the parabolic Monge-Ampère equation with periodic data
From MaRDI portal
Publication:1641889
DOI10.1016/j.anihpc.2017.09.007zbMath1439.35310OpenAlexW2766007462MaRDI QIDQ1641889
Publication date: 20 June 2018
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2017.09.007
parabolic Monge-Ampère equationlocal maximum principleperiodic dataJörgens-Calabi-Pogorelov type theoremlinearized parabolic Monge-Ampère equation
Related Items
Entire solutions of Cauchy problem for parabolic Monge-Ampère equations ⋮ The existence and blow-up of the radial solutions of a \((k_1, k_2)\)-Hessian system involving a nonlinear operator and gradient ⋮ Asymptotic behavior of solutions of Monge-Ampère equations with general perturbations of boundary values ⋮ Entire solutions to the parabolic Monge-Ampère equation with unbounded nonlinear growth in time ⋮ Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator ⋮ Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior ⋮ Asymptotic behavior of solutions of fully nonlinear equations over exterior domains ⋮ The asymptotic behavior of viscosity solutions of Monge-Ampère equations in half space ⋮ On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights ⋮ Ancient solutions of exterior problem of parabolic Monge-Ampère equations
Cites Work
- On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
- A Liouville theorem for solutions of the Monge--Ampère equation with periodic data.
- 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 \({r t - s^2 = 1}\)
- Properties of the solutions of the linearized Monge-Ampere equation
- Global Monge-Amp\\\'ere equation with asymptotically periodic data
- Some existence results for fully nonlinear elliptic equations of monge-ampère type
- On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
- Deforming a hypersurface by its Gauss-Kronecker curvature
- Complete affine hypersurfaces. Part I. The completeness of affine metrics
- A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
- On the regularity theory of fully nonlinear parabolic equations: I
- Shapes of worn stones
- Harnack inequality for the linearized parabolic Monge-Ampère equation
- A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- Geometric properties of the sections of solutions to the Monge-Ampère equation
- The Monge-Ampère equation
- \(W^{2,p}\) estimates for the parabolic Monge-Ampère equation
- Some aspects of the global geometry of entire space-like submanifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
