Souptik Chakraborty

collaborators

2 papers

math.AP2025

Global Compactness Result for a Brézis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator

Souptik Chakraborty, Diksha Gupta, Shammi Malhotra +1

This paper investigates the profile decomposition of Palais-Smale sequences associated with a Brezis-Nirenberg type problem involving a combination of mixed local nonlocal operator…

math.AP2024

Stability of Hardy-Sobolev Inequality

Souptik Chakraborty

Given $N \geq 3,$ we consider the critical Hardy-Sobolev equation $- Δ u - \frac{γ}{∣ x ∣ ^{2}} u = \frac{∣ u ∣ ^{2^{*} (s) - 2} u}{∣ x ∣ ^{s}}$ in $R^{N} ∖ {0},$ where $0<γ<γ_{H}:=\left(\frac{…