Current Research Project

Studying certain types of regional fractional Poincaré and Hardy inequalities.

Research Interests

1. Nonlocal Analysis,
2. Fractional Sobolev Spaces,
3. Fractional Poincare and Hardy Inequalities,
4. Fractional Orlicz Sobolev Spaces.

Publications

(2020) Mohanta, K. and Sk, F., 2021. Fractional Poincaré inequalities on cylindrical domains. arXiv preprint arXiv:2103.16845.

(2020) Bal, K., Mohanta, K., Roy, P. and Sk, F., 2020. Hardy and Poincaré inequalities in fractional Orlicz-Sobolev space. arXiv preprint arXiv:2009.07035.

(2020) Bal, K., Mohanta, K. and Roy, P., 2020. Bourgain-Brezis-Mironescu domains. Nonlinear Analysis, 199, p.111928.