Rohit Kumar - Publications

Publications:

9. Positive solutions to semipositone problems on Heisenberg group, Vikram Naik & Rohit Kumar, Complex Variables and Elliptic Equations (2026), https://doi.org/10.1080/17476933.2026.2685084.

8. Fractional Critical Systems with Mixed Boundary Conditions, Rohit Kumar & Alejandro Ortega, Zeitschrift für Angewandte Mathematik und Physik (2026), https://doi.org/10.1007/s00033-025-02642-3.

7. On Semipositone Problems over RN for the Fractional p-Laplace Operator, Nirjan Biswas & Rohit Kumar, Journal of Mathematical Analysis and Applications (2025), https://doi.org/10.1016/j.jmaa.2025.129703.

6. On a Fractional System of NLS-KDV Equations with Hardy Potentials, Rohit Kumar, Tuhina Mukherjee & Abhishek Sarkar, Indian Journal of Pure and Applied Mathematics (2025), https://doi.org/10.1007/s13226-025-00784-8.

5. Higher-Order Fractional Weighted Homogeneous Spaces: Characterization and Finer Embeddings, Nirjan Biswas & Rohit Kumar, Journal of Mathematical Analysis and Applications (2025), https://doi.org/10.1016/j.jmaa.2024.128935.

4. Existence and Non-existence Results to a Mixed Anisotropic Schrodinger system in a Plane, Hichem Hajaiej, Rohit Kumar, Tuhina Mukharjee & Linjie Song, Asymptotic Analysis (2025), https://doi.org/10.3233/ASY-241922.

3. Existence of Positive Solutions for Generalized Fractional Br\'{e}zis-Nirenberg Problem, Rohit Kumar & Abhishek Sarkar, Topological Methods in Nonlinear Analysis (2024), https://doi.org/10.12775/TMNA.2024.014.

2. On Critically Coupled (s1,s2)-Fractional System of Schrödinger Equations with Hardy Potential, Rohit Kumar, Tuhina Mukherjee & Abhishek Sarkar, Differential and Integral Equations (2023), https://doi.org/10.57262/die039-0102-133.

1. Multiple Solutions for a Weighted p-Laplacian Problem, Rohit Kumar & Abhishek Sarkar, Electronic Journal of Differential Equations, Conference 26 (2022), https://doi.org/10.58997/ejde.conf.26.k1. [PDF]

Book Chapter

1. Characterization of Higher Order Fractional Weighted Homogeneous Spaces, Nirjan Biswas & Rohit Kumar, to appear in 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.

Preprints

1.Characterizations of compactness and weighted eigenvalue problem associated with fractional Hardy-type inequalities, Ujjal Das, Rohit Kumar and Abhishek Sarkar. https://doi.org/10.48550/arXiv.2309.09532

2. Global branching for semilinear fractional Laplace with sublinear nonlinearity, Jefferson Abrantes, Rohit Kumar & Abhishek Sarkar. https://doi.org/10.48550/arXiv.2511.08037

3. Critical Fractional Kirchhoff Systems Under Mixed Boundary Conditions, Rohit Kumar & Alejandro Ortega.