RJ

Riadh Jelloul

Nonlinear Analysis and Geometry Unit, Faculty of Sciences of Tunis

2 Publications
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Publications 2

1
Research Article Vol. 36, Issue 1

Tian Invariants on G2,4(C) Blown Up Along P1(C) ∼= S2

Riadh JELLOUL*

In this paper, we prove the existence of an extremal functionthat minorizes all admissible functions with zero supremum ona non-toric Fano manifold, namely the complex GrassmannianG2,4(C) blown up along P1(C). The functions considered areinvariant under a suitably chosen automorphism group. Thislower bound allows us to calculate the Tian invariant ...

2
Research Article Vol. 36, Issue 1

Radial Solution of the Monge-Amp`ere Equation on R3 and R4

Riadh JELLOUL*

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 thesolu...

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