Publications and Projects

30. D. K. Mahanta, T. Mukherjee and A. Sarkar, Degenerate Schr{\"o}dinger-Kirchhoff $(p, N)$-Laplacian problem With singular Trudinger-Moser nonlinearity in $\mathbb{R}^N$, (2024), Forum Mathematicum, https://doi.org/10.1515/forum-2023-0407 

29. T. Mukherjee, P. Pucci and L. Sharma, Nonlocal critical exponent singular problems under mixed Dirichlet-Neumann boundary conditions, Journal of Mathematical Analysis and Applications, 531(2)(2), (2024), 127843.

28. R. Kumar, T. Mukherjee, and A. Sarkar, On critically coupled $(s_1,s_2)$-fractional system of Schr\"{o}dinger equations with Hardy potential, accepted in Differential and Integral Equations, (2023).

27. R. Arora, A. Fiscella, T. Mukherjee and P. Winkert, Existence of ground state solutions for a Choquard double phase problem, Nonlinear Analysis: Real World Applications, (2023), Volume 73, 103914.

26. R. Arora, A. Fiscella, T. Mukherjee and P. Winkert, On double phase Kirchhoff problems with singular nonlinearity, Advances in Nonlinear Analysis, 12: 20220312, (2023).

25. P. Garain and T. Mukherjee, On an anisotropic double phase problem with singular and sign changing nonlinearity, Nonlinear Analysis: Real World Applications, 70, 103790, (2023).

24. R. Arora, A. Fiscella, T. Mukherjee and P. Winkert, On critical double phase Kirchhoff problems with singular nonlinearity, Rendiconti del Circolo Matematico di Palermo Series 2, (2022), DOI 10.1007/s12215-022-00762-7.

23. K. Bal, P. Garain and T. Mukherjee, On an anisotropic p-Laplace equation with  variable singular exponent, Advances in Differential Equations, 26 (11-12), (2021).

22. T. Mukherjee, P. Pucci and M. Xiang,  Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems, (2021),  accepted in Discrete and Continuous Dynamical Systems- Series A,  https://www.aimsciences.org/article/doi/10.3934/dcds.2021111

21. S. Goyal and T. Mukherjee,  Kirchhoff Equations with Choquard Exponential Type Nonlinearity Involving the Fractional Laplacian, Acta Appl Math 172, 11 (2021).

20. C.O. Alves and T. Mukherjee,  Existence of solutions  for a class of elliptic problems in exterior domain with discontinuous nonlinearity, SN Partial Differ. Equ. Appl. 2, 13 (2021).

19. P. Garain and T. Mukherjee,  Quasilinear nonlocal elliptic problems with variable singular exponent, Communications in Pure and Applied Analysis, (2020), 19(11), 5059-5075. 

 18. R. Arora, J. Giacomoni, T. Mukherjee and K. Sreenadh, Adams-Moser-Trudinger inequality in the cartesian product of Sobolev spaces and its applications, RACSAM 114, 111 (2020). 

17. K. Sreenadh and T. Mukherjee,  Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey,  In: Manchanda P., Lozi R., Siddiqi A. (eds) Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Industrial and Applied Mathematics, Springer, Singapore, (2020), DOI: 10.1007/978-981-15-0928-5_10.  

16. T. Mukherjee,  Concentration Phenomenon in the critical exponent problems on Hyperbolic space, Applicable Analysis, (2021),  100:15, 3117-3131, DOI: 10.1080/00036811.2020.1712367.

15.  R. Arora, J. Giacomoni, T. Mukherjee and K. Sreenadh, Polyharmonic Kirchhoff type Choquard equations involving exponential nonlinearity with singular weights,  Nonlinear Analysis, 196 (2020), 111779. 

14.  C.O. Alves and T. Mukherjee, Existence and Multiplicity of solutions for a class of Hamiltonian systems, Monatshefte f\"{u}r Mathematik, (2020),DOI: 10.1007/s00605-020-01379-7. 

13. P. Garain and T. Mukherjee,  On a class of weighted p-Laplace equations with singular nonlinearity, (2019), Mediterranean Journal of Mathematics, DOI: 10.1007/s00009-020-01548-w. 

12. R. Arora, J. Giacomoni, T. Mukherjee and K. Sreenadh,  n-Kirchhoff Choquard equations with exponential nonlinearity, Nonlinear Analysis, 186 (2019), 113-144. 

11.  J. Giacomoni, T. Mukherjee and K. Sreenadh,  A Global multiplicity result for a very singular critical nonlocal equation, Topological Methods in Nonlinear Analysis, (2019), DOI: 10.12775/TMNA.2019.049

10. J. Giacomoni, T. Mukherjee and K. Sreenadh,  Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity, Journal of Mathematical Analysis and Applications, 467 (1) (2018),  638-672. 

9.  J. Giacomoni, T. Mukherjee and K. Sreenadh,  Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian, Discrete and Continuous Dynamical Systems - Series S, 12 (2) (2019), 311-337. 

8. T. Mukherjee and K. Sreenadh, On doubly nonlocal p-fractional coupled elliptic system, Topological Methods in Nonlinear Analysis,  51 (2) (2018), 609-636. 

7. T Mukherjee and K Sreenadh, On concentration of least energy solutions for magnetic critical Choquard equations, Journal of Mathematical Analysis and Applications, 464 (1), 402-420, (2018). 

6. J. Giacomoni, T. Mukherjee and K. Sreenadh,  Existence of three positive solutions for a nonlocal singular dirichlet boundary problem, Advanced Nonlinear Studies, 19(2), (2019), 333-352. 

  5. T. Mukherjee and K. Sreenadh,  Fractional Choquard Equation with critical nonlinearities, Nonlinear Differ. Equ. Appl., (2017), 24: 63. 

   4. T. Mukherjee and K. Sreenadh, On Dirichlet problem for fractional p-Laplacian with singular nonlinearity,  Advances in  Nonlinear Analysis, 8(1) (2019), 52-72

   3. T. Mukherjee and K. Sreenadh, Positive solutions for nonlinear Choquard equation with singular nonlinearity, Complex Variables and Elliptic Equations, 62 (2017), 1044-1071. 

  2. J. Giacomoni, T. Mukherjee and K. Sreenadh,  Positive solutions of fractional elliptic equation with critical and singular nonlinearity, Advances in Nonlinear Analysis, 6(3) (2017), 327-354. 

1. T. Mukherjee and K. Sreenadh,  Fractional elliptic equations with critical growth and singular nonlinearities, Electronic Journal of Differential Equations, 54 (2016), 1-23.