Publications

(2025) Fractional Hardy inequalities and capacity density. Calculus of Variations and Partial Differential Equations, -- with Lizaveta Ihnatsyeva and Antti V. Vähäkangas. Link

(2025) Classifying Triebel-Lizorkin capacities in metric spaces. Journal of Fourier Analysis and Applications. -- with Juha Lehrbäck and Antti V. Vähäkangas Link

(2025) Traces of vanishing Hölder spaces. Journal of Geometric Analysis. 35(34), p.1-26-- with Carlos Mudarra and Tuomas Oikari. Link

(2024) On the singular problem involving g-Laplacian. Complex Variables and Elliptic Equations. -- with Kaushik Bal and Riddhi Mishra. Link

(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

1. Limits at infinity for functions in fractional Sobolev spaces. -- with Angha Agarwal and Pekka Koskela. Arxiv Link

2. Note on injectivity in second-gradient Nonlinear Elasticity. -- with Stanislav Hencl. Arxiv Link

ORCID iD iconhttps://orcid.org/0000-0001-7712-1562

Email me at k91mohanta [at] gmail.com, kaushik.mohanta [at] matfyz.cuni.cz.
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