The Monge-Ampère Equation

1. Generalized Solutions to Monge–Ampère Equations
Cristian E. Gutiérrez

2. Uniformly Elliptic Equations in Nondivergence Form
Cristian E. Gutiérrez

3. The Cross-Sections of Monge–Ampère
Cristian E. Gutiérrez

4. Convex Solutions of det D
2
u = 1 in ℝ
n

Cristian E. Gutiérrez

5. Regularity Theory for the Monge–Ampère Equation
Cristian E. Gutiérrez

6.
W
2, p
Estimates for the Monge–Ampère Equation
Cristian E. Gutiérrez

7. The Linearized Monge–Ampère Equation
Cristian E. Gutiérrez

8. Interior Hölder Estimates for Second Derivatives
Cristian E. Gutiérrez

Keywords: Mathematics, Partial Differential Equations, Differential Geometry, Mathematical Applications in the Physical Sciences