Publications

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

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

4. Souvik 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, Debajyoti Choudhuri, Alessio 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, Vishvesh Kumar, Michael 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, Dumitru 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, Debajyoti Choudhuri, Ratan Kumar 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, Debajyoti Choudhuri. Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity, Positivity, 24(2):463-479, (2020). Link

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

13. Kamel Saoudi, Sekhar Ghosh, Debajyoti 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, Akasmika Panda, Debajyoti 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, Debajyoti Choudhuri, Ratan Kumar Giri. Singular nonlocal problem involving measure data, Bull. Braz. Math. Soc., 50(1):187-209, (2019). Link

16.  Akasmika Panda, Sekhar Ghosh, Debajyoti 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 Souvik Bhowmick and Vishvesh Kumar). 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).

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

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

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