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VIVEK SAHU
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VIVEK SAHU
  1. Weighted fractional Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities with singularities on flat submanifold, (with M. Kijaczko), to appear in Communications in Contemporary Mathematics (arXiv Link: arXiv:2503.19057, 2025).


  1. Fractional Hardy inequality with singularity on submanifold, (with Adimurthi, P. Roy), to appear in Calculus of Variations and Partial Differential Equations (arXiv Link: arXiv:2407.10863, 2024).


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


  1. Boundary Hardy Inequality on Functions of Bounded Variation, (with Adimurthi, P. Roy), Annali Scuola Normale Superiore - Classe di Scienze (5), Mar. 2025, p. 26.


  1. The Trudinger type inequality in fractional boundary Hardy inequality, (with Adimurthi, P. Roy), Communications on Pure and Applied Analysis 24 (2025), no. 6, 973-990.


Preprints


  1. Fractional boundary Hardy inequality for the critical cases, (with Adimurthi, P. Roy), arXiv:2308.11956, 2023.


  1. Fractional Sobolev logarithmic inequalities, arXiv:2509.07559, 2025


Indian Statistical Institute, Delhi Centre, India, 110016

 vivek@isid.ac.in,  viiveksahu@gmail.com                                                                                                  

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