Publications

1. S. Bhowmick, Sekhar Ghosh, K. Saoudi. Least energy nodal solutions for mixed local-nonlocal equations involving singularity,  Z. Angew. Math. Phys., (2025).  (To appear).

2. Sekhar Ghosh, V. Kumar. Critical equations involving nonlocal subelliptic operators on stratified Lie groups: Spectrum, bifurcation and multiplicity, Israel J. Math. (2025).  (To appear). arXiv.

3. Sekhar Ghosh, V. Kumar, M. Ruzhansky. Subelliptic nonlocal Brezis-Nirenberg problems on stratified Lie groups, Commun. Contemp. Math. (2025).  (To appear).  Link

4. S. Bhowmick, Sekhar Ghosh. Existence results for mixed local and nonlocal elliptic equations involving singularity and nonregular data,  J. Geom. Anal., 35(8), Article No. 218, 46 pp., (2025). Link

5. R. Lakshmi, Sekhar Ghosh. Mixed local and nonlocal eigenvalue problems in the exterior domain, Fract. Calc. Appl. Anal., 28(4):1831-1866, (2025). Link

6. Sekhar Ghosh, D. Choudhuri, A. Fiscella. Existence of at least k solutions to a fractional p-Kirchhoff problem involving singularity and critical exponent. Fract. Calc. Appl. Anal., 28(2):1012-1039, (2025). Link

7. Sekhar Ghosh, V. Kumar, M. Ruzhansky. Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups, Math. Ann., 388(4):4201-4249, (2024). Link

8. Sekhar Ghosh, D. Motreanu. Infinitely many large solutions to a variable order nonlocal singular equation, Fract. Calc. Appl. Anal., 25(2):822-839, (2022). Link

9. Sekhar Ghosh. An existence result for singular nonlocal fractional Kirchhoff-Schrödinger-Poisson system, Complex Var. Elliptic Equ., 67(8):1817-1846, (2022). Link

10. Sekhar Ghosh, D. Choudhuri, R. K. Giri. Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity, Complex Var. Elliptic Equ., 66(11):1797-1817, (2021). Link

11. Sekhar Ghosh, D. Choudhuri. Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity, Positivity, 24(2):463-479, (2020). Link

12. Sekhar Ghosh, K. Saoudi, M. Kratou, D. Choudhuri. Least energy sign-changing solution of fractional p-Laplacian problems involving singularities, Dyn. Partial Differ. Equ., 17(2):97-115, (2020). Link

13. K. Saoudi, Sekhar Ghosh, D. Choudhuri. Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity, J. Math. Phys., 60(10), 101509, 28 pp., (2019). Link 

14. Sekhar Ghosh, A. Panda, D. Choudhuri. Multiplicity of solutions to an elliptic problem with singularity and measure data, Electron. J. Differential Equations, 2019, Paper No. 60, 21 pp., (2019). Link

15. Sekhar Ghosh, D. Choudhuri, R. K. Giri. Singular nonlocal problem involving measure data, Bull. Braz. Math. Soc., 50(1):187-209, (2019). Link

16.  A. Panda, Sekhar Ghosh, D. Choudhuri. Elliptic partial differential equation involving a singularity and a Radon measure, J. Indian Math. Soc., 86(1-2):95-117, (2019). Link

Submitted for Publication

1. Superlinear problems involving nonlinear superposition operators of mixed fractional order. (with S. Bhowmick and V. Kumar). arXiv.

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

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

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

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

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

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 I. Aydin and L. Mbarki).

9. Nonlocal subelliptic systems involving concave-convex nonlinearities on stratified Lie groups. (with V. Kumar).

10. A weighted eigenvalue problem for mixed local and nonlocal operators with potential. (with R. Lakshmi, and R. K. Giri). arXiv.

11. Best constants in subelliptic fractional  Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. (with V. Kumar and M. Ruzhansky). arXiv.