Boundary regularity for solutions to the linearized Monge-Ampère equations
From MaRDI portal
Publication:2436315
DOI10.1007/s00205-013-0653-5zbMath1283.35137arXiv1109.5677OpenAlexW3104318402MaRDI QIDQ2436315
Publication date: 24 February 2014
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.5677
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60)
Related Items (12)
Global \(W^{2,p}\) regularity on the linearized Monge-Ampère equation with \(\text{VMO}\) Type coefficients ⋮ Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation ⋮ Global \(W^{1,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ Interior estimates for the Monge-Ampère type fourth order equations ⋮ Twisted Harnack inequality and approximation of variational problems with a convexity constraint by singular Abreu equations ⋮ Global bifurcation and convex solutions for the Monge-Ampère equation ⋮ Global \(W^{2,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ Boundary Hölder gradient estimates for the Monge-Ampère equation ⋮ On boundary Hölder gradient estimates for solutions to the linearized Monge-Ampère equations ⋮ Global \(C^{1+\alpha,\frac{1+\alpha}{2}}\) regularity on the linearized parabolic Monge-Ampère equation ⋮ Interior second derivative estimates for solutions to the linearized Monge-Ampère equation ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications
Cites Work
- Some minimization problems in the class of convex functions with prescribed determinant
- Interior gradient estimates for solutions to the linearized Monge-Ampère equation
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- Extremal metrics on toric surfaces: a continuity method
- Constant scalar curvature metrics on toric surfaces
- The Bernstein problem for affine maximal hypersurfaces
- Scalar curvature and stability of toric varieties.
- Boundary regularity for the Monge-Ampère and affine maximal surface equations
- Interior estimates for solutions of Abreu equation
- Global 𝑊^{2,𝑝} estimates for the Monge-Ampère equation
- Properties of the solutions of the linearized Monge-Ampere equation
- Generalised Lagrangian Solutions for Atmospheric and Oceanic Flows
- A Fully Nonlinear Version of the Incompressible Euler Equations: The Semigeostrophic System
- Polar factorization and monotone rearrangement of vector‐valued functions
- Some regularity properties of solutions of Monge Ampère equation
- The affine Plateau problem
- Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
- A localization property at the boundary for the Monge-Ampere equation
- Unnamed Item
This page was built for publication: Boundary regularity for solutions to the linearized Monge-Ampère equations
