3 papers
math.AP2025
Quantitative stability for the conformally invariant Chang-Gui inequality on the exponentiation of functions on the sphere
Monideep Ghosh, Debabrata Karmakar
In this work, we focus on a recent variant of the Trudinger-Moser-Onofri inequality introduced by S. Y. Alice Chang and Changfeng Gui \cite{CG-2023}: \begin{align*} α\int_{\mathbb…
math.AP2025
Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality
Souptik Chakraborty, Monideep Ghosh, Debabrata Karmakar
In this article, we prove the best Bianchi-Egnell constant for the Hardy-Sobolev (HS) inequality \begin{align*} C_{\tiny\mbox{BE}}(γ) := \inf_{u \ \small \mbox{not an optimizer}}…
math.AP2025
A note on the log-perturbed Brézis-Nirenberg problem on the hyperbolic space
Monideep Ghosh, Anumol Joseph, Debabrata Karmakar
We consider the log-perturbed Brézis-Nirenberg problem on the hyperbolic space \begin{align*} Î_{\mathbb{B}^N}u+λu +|u|^{p-1}u+θu \ln u^2 =0, \ \ \ \ u \in H^1(\mathbb{B}^N), \…