Kaushik Mohanta

Publications

(2024) Magnetic fractional Poincaré inequality in punctured domains. Journal of Mathematical Analysis and Applications. -- with Kaushik Bal and Prosenjit Roy. Link

(2024) Bourgain-Brezis-Mironescu formula for W^{s,p}_q-spaces in arbitrary domains. Calculus of Variations and Partial Differential Equations, 63(2), p.31.Link

(2023) Improved Hardy inequalities on Riemannian manifolds. Complex Variables and Elliptic Equations, pp.1-12. -- with Jagmohan Tyagi. Link

(2022) Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces. Nonlinear Analysis, 216, p.112697. -- with Kaushik Bal, Prosenjit Roy and Firoj Sk. Link

(2021) Fractional Poincaré inequalities on cylindrical domains. Differential and Integral Equations, 34(11/12) p.691-712. -- with Firoj Sk. Link

(2020) Bourgain-Brezis-Mironescu domains. Nonlinear Analysis, 199, p.111928.-- with Kaushik Bal and Prosenjit Roy. Link

Preprints

4. Fractional Hardy inequalities and capacity density. -- with Lizaveta Ihnatsyeva and Antti V. Vähäkangas. Arxiv Link

3. Classifying Triebel-Lizorkin capacities in metric spaces. -- with Juha Lehrbäck and Antti V. Vähäkangas Arxiv Link

2. Traces of vanishing Hölder spaces. -- with Carlos Mudarra and Tuomas Oikari. Arxiv Link

1. On the singular problem involving g-Laplacian. -- with Kaushik Bal and Riddhi Mishra. Arxiv Link