Saikat Mazumdar

Assistant Professor

Department of Mathematics
Indian Institute of Technology Bombay

Mumbai, Maharashtra 400076, India

Email: saikat@math.iitb.ac.in, saikat.mazumdar@iitb.ac.in

Office: 115-C

Phone: +91 22 2576 9475

Curriculum Vitae

Research Interests

Nonlinear partial differential equations
Nonlinear Analysis on Manifolds
Geometric Analysis

Preprints

Existence result for the higher-order Q–curvature equation, with J. Vétois. (2020) arXiv:2007.10180.

The Hardy–Schrödinger Operator on the Poincaré Ball: Compactness and Multiplicity, with N. Ghoussoub and F. Robert. (2018) arXiv:1804.05991.

Publications

[5] Multiplicity and stability of the Pohozaev obstruction for Hardy-Schrödinger equations with boundary singularity, with N. Ghoussoub and F. Robert. − to appear in Memoirs of the AMS. arXiv:1904.0008 7

[4] Mass and Extremals Associated with the Hardy-Schrödinger Operator on Hyperbolic Space, with H. Chan, N. Ghoussoub, S. Shakerian, L. Faria. Adv. Nonlinear Stud. 18 (2018), no. 4, 671−689. arXiv:1710.01271

[3] Hardy-Sobolev equations with asymptotically vanishing singularity: Blow-up analysis for the minimal energy. Nonlinear Analysis, 169 (2018), 190-217. arXiv:1702.03480

[2] Struwe's Decomposition for a Polyharmonic Operator on a Compact Riemannian Manifold with or without boundary. Commun. Pure Appl. Anal. 16 (2017), no. 1, 311–330. arXiv:1603.07953

[1] GJMS-type Operators on a compact Riemannian manifold: Best constants and Coron-type solutions. J. Differential Equations, 261 (2016), no. 9, 4997-5034. arXiv:1512.0212

Teaching

IIT Bombay

MA 817 : Partial Differential Equations I
SI 416 : Optimization
SI 507 : Numerical Analysis