Department of
Mathematics

Mousomi Bhakta obtained her PhD from TIFR-CAM in 2011 and then joined as a visiting scientist in ICTP, Italy for three months. She was a postdoc in Technion, Israel for 2 years and University of New England, Australia for a year before joining as an Assistant Professor at IISER Pune in 2014.
 

Research

Nonlinear Analysis, Elliptic PDE, Hardy potential, Equations with measure data, geometric analysis, Liouville problems

Dr. Mousomi Bhakta is studying the existence, multiplicity of positive and sign-changing solutions to local and nonlocal elliptic equations applying tools from nonlinear analysis and to study various qualitative properties of solutions e.g. radial symmetry, regularity, apriori estimate, etc. Dr. Bhakta studied the above questions to various local and nonlocal type semilinear and quasilinear elliptic equations with Hardy potential, equations with Hardy-Sobolev-Maz'ya type nonlinearities either in bounded domain or in the entire Euclidean space.

Another important topic of Dr. Bhakta's research is the study of local and nonlocal type singular elliptic system of equations with measure data. These type of solutions are called very weak solutions. Here too, her interest is to study existence, multiplicity, regularity of positive solutions. 

Selected Publications

Bhakta, M. ; Biswas, A.; Filippucci, R., Liouville properties for differential inequalities with (p,q) Laplacian operator. J. Lond. Math. Soc. (2026).

Bhakta, M. Ganguly, D.; Karmakar, D.; Mazumdar, S., Sharp quantitative stability of Struwe's decomposition of the Poincaré-Sobolev inequalities on the hyperbolic space: Part I. Adv. Math. 479 (2025), part B, Paper No. 110447, 84 pp.

Bhakta, M. Ganguly, D.; Karmakar, D.; Mazumdar, S., Sharp quantitative stability of Poincaré-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows. Calc. Var. Partial Differential Equations 64 (2025), no. 1, Paper No. 23, 47 pp.

Bhakta, M. Ganguly, D.; Gupta, D.; Sahoo, A.K., A global compactness result and multiplicity of solutions for a class of critical exponent problems in the hyperbolic space. Commun. Contemp. Math. 27 (2025), no. 7, Paper No. 2450045, 45 pp.

Bhakta, M.; Marcus, M.; Nguyen, P-T., Boundary value problems for semilinear Schrödinger equations with singular potentials and measure data. Math. Ann. 390 (2024), no. 1, 351–379.

Bhakta, M.; Ganguly, D.; Montoro, L.., Fractional Hardy equations with critical and supercritical exponents. Ann. Mat. Pura Appl. (4) 202 (2023), no. 1, 397-430.