Radial Solution of the Monge-Amp`ere Equation on R3 and R4
1 Nonlinear Analysis and Geometry Unit, Faculty of Sciences of Tunis
* Corresponding author: riadh.jelloul@gmail.com
* Corresponding author: riadh.jelloul@gmail.com
Abstract
In this paper, we determine radial solutions of the Monge-Amp`ere equation on R3 and R4 using a symplectic changeof variables. This transformation simplifies the formulationof the equation and allows it to be expressed in radialform, thereby reducing the problem to an associated ordinarydifferential equation. The existence and uniqueness of thesolutions are established and explicit expressions are provided.
Keywords
Calabi-Yau structure
Monge-Amp`ere equation
Radial solution
How to Cite
JELLOUL, R. (2026). Radial Solution of the Monge-Amp`ere Equation on R3 and R4. Nigerian Journal of Mathematics and Applications, 36(1), 1-7.
R. JELLOUL, "Radial Solution of the Monge-Amp`ere Equation on R3 and R4," Nigerian Journal of Mathematics and Applications, vol. 36, no. 1, pp. 1-7, April 2026.
