Publications

20. Sekhar Ghosh, Vishvesh Kumar. Nonlocal subelliptic systems involving concave-convex nonlinearities on stratified Lie groups, Bulletin of Mathematical Sciences, Vol. 00, Issue 00, (2026). (Accepted).

19. Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar. Superlinear problems involving nonlinear superposition operators of mixed fractional order, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, Vol. 00, Issue 00, (2026). (Accepted). arXiv.

18. R. Lakshmi, Ratan Kumar Giri, Sekhar Ghosh. A weighted eigenvalue problem for mixed local and nonlocal operators with potential, Mathematische Nachrichten, Vol. 00, Issue 00,  (2025). (Early View). Link

17. Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky. Best constants in subelliptic fractional  Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups, Calculus of Variations and Partial Differential Equations, Vol. 65, Issue 1, Article No. 28, 28 pp., (2026). Link

16. Souvik Bhowmick, Sekhar Ghosh, Kamel Saoudi. Least energy nodal solutions for mixed local-nonlocal equations involving singularity,  Zeitschrift für Angewandte Mathematik und Physik, Vol. 76, Issue 6, Article No. 232, 27 pp., (2025). Link

15. Sekhar Ghosh, Vishvesh Kumar. Critical equations involving nonlocal subelliptic operators on stratified Lie groups: Spectrum, bifurcation and multiplicity, Israel Journal of Mathematics,  Vol. 00, Issue 00, (2025).  (Accepted). arXiv.

14. Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky. Subelliptic nonlocal Brezis-Nirenberg problems on stratified Lie groups, Communications in Contemporary Mathematics, Vol. 00, Issue 00, Article No. 2550079, 38 pp., (2025).  (First View).  Link

13. Souvik Bhowmick, Sekhar Ghosh. Existence results for mixed local and nonlocal elliptic equations involving singularity and nonregular data,  Journal of Geometric Analysis, Vol. 35, Issue 8, Article No. 218, 46 pp., (2025). Link

12. R. Lakshmi, Sekhar Ghosh. Mixed local and nonlocal eigenvalue problems in the exterior domain, Fractional Calculus and Applied Analysis, Vol. 28, Issue 4, 1831-1866, (2025). Link

11. Sekhar Ghosh, Debajyoti Choudhuri, Alessio Fiscella. Existence of at least k solutions to a fractional p-Kirchhoff problem involving singularity and critical exponent. Fractional Calculus and Applied Analysis, Vol. 28, Issue 2, 1012-1039, (2025). Link

10. Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky. Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups, Mathematische Annalen, Vol. 388, Issue 4, 4201-4249, (2024). Link

9. Sekhar Ghosh, Dumitru Motreanu. Infinitely many large solutions to a variable order nonlocal singular equation, Fractional Calculus and Applied Analysis, Vol. 25, Issue 2, 822-839, (2022). Link

8. Sekhar Ghosh. An existence result for singular nonlocal fractional Kirchhoff-Schrödinger-Poisson system, Complex Variables and Elliptic Equations, Vol. 67, Issue 8, 1817-1846, (2022). Link

7. Sekhar Ghosh, Debajyoti Choudhuri, Ratan Kumar Giri. Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity, Complex Variables and Elliptic Equations, Vol. 66, Issue 11, 1797-1817, (2021). Link

6. Sekhar Ghosh, Debajyoti Choudhuri. Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity, Positivity, Vol. 24, Issue 2, 463-479, (2020). Link

5. Sekhar Ghosh, Kamel Saoudi, Mouna Kratou, Debajyoti Choudhuri. Least energy sign-changing solution of fractional p-Laplacian problems involving singularities, Dynamics of Partial Differential Equations, Vol. 17, Issue 2, 97-115, (2020). Link

4. Kamel Saoudi, Sekhar Ghosh, Debajyoti Choudhuri. Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity, Journal of Mathematical Physics, Vol. 60, Issue 10, Paper No. 101509, 28 pp., (2019). Link 

3. Sekhar Ghosh, Akasmika Panda, Debajyoti Choudhuri. Multiplicity of solutions to an elliptic problem with singularity and measure data, Electronic Journal of Differential Equations, Vol. 2019, Paper No. 60, 21 pp., (2019). Link

2. Sekhar Ghosh, Debajyoti Choudhuri, Ratan Kumar Giri. Singular nonlocal problem involving measure data, Bulletin of the Brazilian Mathematical Society, New Series, Vol. 50, Issue 1, 187-209, (2019). Link

1. Akasmika Panda, Sekhar Ghosh, Debajyoti Choudhuri. Elliptic partial differential equation involving a singularity and a Radon measure, Journal of the Indian Mathematical Society, Vol. 86, Issue 1-2, 95-117, (2019). Link

Submitted for Publication

1. Spectral analysis, maximum principles and shape optimization for nonlinear superposition operators of mixed fractional order. (with Yergen Aikyn, Vishvesh Kumar and Michael Ruzhansky). arXiv.

2. Infinitely many solutions for nonlinear superposition operators of mixed fractional order involving critical exponent. (with Souvik Bhowmick and Vishvesh Kumar). arXiv.

3. On equivalence of weak and viscosity solutions to nonlocal double phase problems with nonhomogeneous data. (with R. Lakshmi and Chao Zhang). arXiv.

4. Brezis-Nirenberg type problems associated with nonlinear superposition operators of mixed fractional order. (with Yergen Aikyn, Vishvesh Kumar and Michael Ruzhansky). arXiv.

5. On sign-changing solutions for mixed local and nonlocal p-Laplace operator. (with Souvik Bhowmick). arXiv.

6. Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups. (with Tianxiang Gou, Vishvesh Kumar and Vicentiu D. Rădulescu). arXiv.

7. Equivalence of weak and viscosity solutions to mixed local and nonlocal p-Laplace equation. (with R. Lakshmi).

8. Hölder regularity and multiplicity of solutions for weighted p(x)-Laplace equation involving singularity. (with Ismail Aydin and Lamine Mbarki).