Jiya Rose Johnson

collaborators

3 papers

math.AP2026

On the weighted logarithmic potential operator

T. V. Anoop, Jiya Rose Johnson

For a bounded open set $I^c ◯ \subset R^{N}$ with $N \geq 2$ , and for positive continuous functions $w, g$ on $I^c ◯$ , we consider the weighted eigenvalue problem \begin{equ…

math.AP2026

On Eigenvalues of Logarithmic Potential Operator in the Hyperbolic Space

Jiya Rose Johnson, Sheela Verma

Let $I^c ◯$ be a bounded open set in the PoincarÃ© hyperbolic disk, $D$ . In this article, we consider the hyperbolic logarithmic potential operator $\mathcal{L}_h : L^2(Î©) \…

math.AP2025

Reverse Faber-Krahn inequalities for the Logarithmic potential operator

T. V. Anoop, Jiya Rose Johnson

For a bounded open set $I^c ◯ \subset R^{2},$ we consider the largest eigenvalue $I ¨ _{1} (I^c ◯)$ of the Logarithmic potential operator $L$ . If $d iam (I^c ◯) \leq 1$ , we prove rev…