Publications

8.  Title: Fractional Critical Systems with Mixed Boundary Conditions.

Authors: Rohit Kumar & Alejandro Ortega.

Journal: Zeitschrift für angewandte Mathematik und Physik (2025)  (Accepted)

DOI:  To appear                                                Preprint : arXiv.2510.04975  [PDF] 

7.  Title: On semipositone problems over RN for the fractional p-Laplace operator.

Authors: Nirjan Biswas & Rohit Kumar.

Journal: Journal of Mathematical Analysis and Applications (2025), Volume 551, Issue 2, Part 2, 15 November 2025,  129703. 

DOI: https://doi.org/10.1016/j.jmaa.2025.129703.   Preprint : arXiv.2401.16953  [PDF] 

6.  Title: On a fractional system of NLS-KDV equations with Hardy potentials.

Authors: Rohit Kumar, Tuhina Mukherjee & Abhishek Sarkar.

Journal: Indian Journal of Pure and Applied Mathematics (2025). Published on 10th April 2025.

DOI: https://doi.org/10.1007/s13226-025-00784-8. [Published PDF]       Preprint : arXiv.2309.09536  [PDF]  

5.  Title:  Higher-order fractional weighted homogeneous spaces: characterization and finer embeddings.

Authors: Nirjan Biswas & Rohit Kumar.

Journal:  Journal of Mathematical Analysis and Applications (2025), Volume 543, Issue 2, Part 2, 15 March 2025, 128935. 

DOI: https://doi.org/10.1016/j.jmaa.2024.128935.                Preprint :  arXiv.2406.05788   [PDF]

4.  Title:  Existence and Non-existence Results to a Mixed Anisotropic Schrodinger system in a Plane.

Authors: Hichem Hajaiej, Rohit Kumar, Tuhina Mukharjee & Linjie Song.

Journal: Asymptotic Analysis (2025), Volume 144, Issue 1, August 2025, Pages 1114-1142.

DOI: https://doi.org/10.3233/ASY-241922.                            Preprint : arXiv.2311.16547  [PDF ]

3.  Title:  Existence of positive solutions for generalized fractional Br\'{e}zis-Nirenberg problem.

Authors: Rohit Kumar & Abhishek Sarkar.

Journal: Topological Methods in Nonlinear Analysis (2024), Volume 64, No. 2, 2024, 509–543.

DOI:  https://doi.org/10.12775/TMNA.2024.014.                  Preprint : arXiv.2406.05793  [PDF ]

2.  Title:  On critically coupled (s1,s2)-fractional system of Schrödinger equations with Hardy potential.

Authors: Rohit Kumar, Tuhina Mukherjee & Abhishek Sarkar.

Journal: Differential and Integral Equations (2026), Volume 39, Numbers 1-2 (2026), 133-182.  (To Appear in Jan/Feb 2026) 

DOI:  https://doi.org/10.57262/die039-0102-133.                   Preprint : arXiv.2210.08260  [PDF]  

1.  Title:  Multiple solutions for a weighted p-Laplacian problem.

Authors: Rohit Kumar & Abhishek Sarkar.

Journal: Electronic Journal of Differential Equations, Conference 26 (2022), pp. 115–122.  Published on August 25, 2022.

DOI: https://doi.org/10.58997/ejde.conf.26.k1.   [PDF]

                                                           Book Chapter

• Chapter Name: Characterization of Higher Order Fractional Weighted Homogeneous Spaces.

Authors: Nirjan Biswas & Rohit Kumar.

Book Title: Ghent Analysis and PDE Seminar: Extended Abstracts 2023/2024, A Springer book series Research Perspectives Ghent

Analysis and PDE Center. Editors: Michael Ruzhansky and Karel Van Bockstal.

DOI: In Preparation