Publications

1. Trudinger-Moser type inequality in fractional Sobolev space with singularity on smooth submanifold
   Vivek Sahu
   Discrete and Continuous Dynamical Systems, 59 (2027), 185–202. Journal | arXiv

2. Fractional boundary Hardy inequality for the critical cases
   Adimurthi, Prosenjit Roy, Vivek Sahu
   Journal of Functional Analysis, 290 (2026), no. 8, 111351. Journal | arXiv

3. Weighted fractional Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities with singularities on flat submanifold
   Michał Kijaczko, Vivek Sahu
   Communications in Contemporary Mathematics (2026), 2650016. Journal | arXiv

4. Fractional Hardy inequality with singularity on submanifold
   Adimurthi, Prosenjit Roy, Vivek Sahu
   Calculus of Variations and Partial Differential Equations, 65 (2026), no. 2, Paper No. 62. Journal | arXiv

5. Weighted fractional Hardy inequalities with singularity on any flat submanifold
   Vivek Sahu
   Journal of Mathematical Analysis and Applications, 546 (2025), no. 2, Paper No. 129227, 16 pp. Journal | arXiv

6. Boundary Hardy Inequality on Functions of Bounded Variation
   Adimurthi, Prosenjit Roy, Vivek Sahu
   Annali Scuola Normale Superiore – Classe di Scienze (5), Mar. 2025, p. 26. Journal | arXiv

7. The Trudinger type inequality in fractional boundary Hardy inequality
   Adimurthi, Prosenjit Roy, Vivek Sahu
   Communications on Pure and Applied Analysis, 24 (2025), no. 6, 973–990. Journal | arXiv

Preprints

• Improved quantitative stability for the critical Hardy inequality
  Vivek Sahu
  arXiv:2608.19732, 2026. arXiv

• Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis
  Avas Banerjee, Debdip Ganguly, Vivek Sahu
  arXiv:2605.15748, 2026. arXiv

• Fractional Sobolev logarithmic inequalities
  Vivek Sahu
  arXiv:2509.07559, 2025. arXiv