Research

                                                                 Published work

1. With  M. Ruzhansky  & D. Verma,  Bilinear Hardy inequalities on metric measure spaces. Proceedings of the Edinburgh Mathematical Society (Accepted). Preprint

2. With  M. Ruzhansky & B. Tiwari, (2025). Anisotropic weighted Levin–Cochran–Lee type inequalities on homogeneous Lie groups. Annales Fennici Mathematici, 50(2), 685–701. DOI

3. With M. Chatzakou & M. Ruzhansky, (2025). Sharp upper bound for anisotropic Rényi entropy on homogeneous Lie groups. Manuscripta Mathematica (Accepted). DOI

4. With M. Ruzhansky & B.Tiwari , (2024). A note on best constants for weighted integral Hardy inequalities on homogeneous groups. Results in Mathematics, 79, Article 29. DOI

5. With M. Ruzhansky & B. Tiwari  (2024). Hardy inequalities on metric measure spaces IV: The case (p = 1). Forum Mathematicum, 36(6). DOI

6. With R. Gangopadhyay, & B. Tiwari, (2023). On equivalence of two non-Riemannian curvatures in warped product Finsler metrics. Proceedings of the National Academy of Sciences, India, Section A: Physical Sciences, 93, 293–299. DOI

7. With R. Gangopadhyay, & B. Tiwari, (2022). On weakly Douglas warped product Finsler metrics. Proceedings of the National Academy of Sciences, India, Section A: Physical Sciences, 92, 599–604. DOI

8. With R. Gangopadhyay, & B. Tiwari, (2021). On Finsler warped product metrics with vanishing E-curvature. AUT Journal of Mathematics and Computing, 2, 137–142. Article Link

                                                       Book chapter

• A note on Hardy inequalities in metric measure spaces for the case (p = 1). In M. Chatzakou, M. Ruzhansky, & D. Stoeva (Eds.), Women in Analysis and PDE (Vol. 5). Springer. DOI

                                                       Preprints

•  With M. Aqib, P. Kumar & H.M. Shah (2026). Finite volume Einstein Finsler warped product space of non-positive scalar curvature. Arxiv 

• An existence result for critical elliptic double-phase problems on non-compact Finsler manifolds, Submitted (2026).

• Constant-sign solutions for double phase problems on non-compact Randers manifolds, Submitted (2026).