Dr Debangana Mukherjee holds a PhD in Mathematics from IISER, Pune. She has around 4 years of experience, which includes her association with IIT Bombay as NBHM Postdoctoral Fellow. Under the supervision of Prof Mousomi Bhakta in 2018 she has obtained a gold medal for the Best PhD Thesis Award in Mathematics. Before joining IIT Bombay, she worked at Montan University, Leoben, Austria and Masaryk University, Brno, Czech Republic as a Postdoctoral Fellow. She has published numerous notable international articles in renowned journals.

Research

Dr Debangana Mukherjee’s research interests are Analysis of Partial Differential Equations.

Publications

Selected Publications:

1. On existence of multiple solutions for fractional Brezis-Nirenberg type equations, Math. Nachr. 295, no. 12, 2405-2421, (2022).

2. (with Mousomi Bhakta and Phuoc Tai Nguyen), Multiplicity and uniqueness for Lane-Emden equations and systems with Hardy potential and measure data, Journal of Differential Equations, Vol.-34, (2021).

3. (with Phan Than Nam and Phuoc-Tai Nguyen), Uniqueness Of Ground State and minimal-mass blow-up solutions for focusing NLS with Hardy Potential, J. Funct. Anal.  Vol. 281, No. 5, (2021).

4. (with Massimo Grossi and Fabio De Regibus) , Uniqueness of the critical point for semi-stable solution in R^2, Cal. Var. Partial Differential Equations, Vol. 60, No. 1, 25 (2021).

5. (with Veronica Felli and Roberto Ognibene), On Fractional Multi-Singular Schrödinger operators: Positivity and localization of binding, J. Funct. Anal., Vol. 278, No. 4, (2020).

6. (with Mousomi Bhakta), Nonlocal scalar field equations: qualitative properties, asymptotic profiles and local uniqueness of solutions, Journal of Differential Equations, Vol. 266 (2019), 6985–7037.

Teaching Modules

Dr Debangana Mukherjee’s teaching interest lies in Analysis courses.