Research articles

I am currently working on Elliptic Partial Differential Equation using variational and topological methods. My publications are as follows:

1. An abstract critical point theorem to study a class of elliptic problems, Debajyoti Choudhuri, Andrey Shishkov, Journal of Geometric Analysis, 2025 (accepted).

2. Multiple solutions to an elliptic problem driven by a singular nonlinearity, Debajyoti  Choudhuri, Ratan K. Giri, Kamel Saoudi, Journal of Differential Equations, 436, Art ID: 113263, 2025.

3. Existence of at least k solutions to a fractional p-Kirchhoff problem involving singularity and critical exponent, Sekhar Ghosh, Debajyoti Choudhuri, Alessio Fiscella, Frac. Calc. Appl. Anal., 28, 1012-1039, 2025.

4. Infinitely Many Solutions for Singular 𝒑(𝒙)-LaplacianEquation Without the Ambrosetti–Rabinowitz(AR) Condition, D. Choudhuri, K. Saoudi, Math. Meth. Appl. Sci., 2025, 1-14, https://doi.org/10.1002/mma.10760

5. Neumann problem driven by discontinuous nonlinearity, Jinxia Cen, D. Choudhuri, V.T. Nguyen, Discrete and Continuous Dynamical Systems: Series S, 18, 11 pp., 2025.

6. A Study of the Prandtl Batchelor Problem Using Variational Method, D. Choudhuri, J. Zuo, Qual. Theory of Dn. Sys.,  24, 43 (2025)

7. On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak L^1 data, S Sahu, D Choudhuri, DD Repovš, Asymptotic Analysis, 1-19, 2024

8. Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data, Choudhuri, D., Zeng, S., Applied Mathematics Letters, 2024, 156, 109136

9. A parabolic problem involving p(x)-Laplacian, a power and a singular nonlinearity Panda, A., Choudhuri, D., Saoudi, K., Journal of Elliptic and Parabolic Equations, 2024, 10(2), pp. 1153–1186

10. A multiphase eigenvalue problem on a stratified Lie group, Choudhuri, D., Tavares, L.S., Repovš, D.D., Rendiconti del Circolo Matematico di Palermo, 2024, 73(7), pp. 2533–2546

11. Existence of Multiple Solution for a Singular p(x)-Laplacian Problem, Ghanmi, A., Mbarki, L., Choudhuri, D., Complex Analysis and Operator Theory, 2024, 18(2), 26

12. Existence of solution for a nonlocal elliptic problem with a Robin-type data, Choudhuri, D., Alkhal, R., Saoudi, K., Complex Variables and Elliptic Equations, 2024

13. A study of a critical hypoelliptic problem in a stratified Lie group, Choudhuri, D., Tavares, L.S., López, J.A.Á., Complex Variables and Elliptic Equations, 2024

14. An elliptic problem of the Prandtl–Batchelor type with a singularity, Choudhuri, D., Repovš, D.D., Boundary Value Problems, 2023, 2023(1), 63

15. Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis, Santra, S., Mohapatra, J., Das, P., Choudhuri, D., Computers and Mathematics with Applications, 2023, 150, pp. 87–101

16. A Double Phase Problem with a Nonlinear Boundary Condition, Choudhuri, D., Repovš, D.D., Saoudi, K., Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46(4), 121

17. On elliptic problems with Choquard term and singular nonlinearity, Choudhuri, D., Repovš, D.D., Saoudi, K., Asymptotic Analysis, 2023, 133(1-2), pp. 255–266

18. Algebraic topological techniques for elliptic problems involving fractional Laplacian, Panda, A., Choudhuri, D., Bahrouni, A., Manuscripta Mathematica, 2023, 170(3-4), pp. 563–579

19. A multiplicity result to p-q Laplacian system with a concave and singular nonlinearities, Choudhuri, D., Kratou, M., Saoudi, K., Fixed Point Theory, 2023, 24(1), pp. 127–154

20. A critical elliptic problem involving exponential and singular nonlinearities, Choudhuri, D., Saoudi, K., Fractional Calculus and Applied Analysis, 2023, 26(1), pp. 399–413

21. On semilinear equations with free boundary conditions on stratified Lie groups, Choudhuri, D., Repovš, D.D., Journal of Mathematical Analysis and Applications, 2023, 518(1), 126677

22. Elliptic problemin an exterior domain drivn by a singuarity with a nonlocal Neumann condition, Choudhuri, D., Saoudi, K., Methods of Functional Analysis and Topology, 2023, 29(1-2), pp. 16–29

23. A weighted fractional problem involving a singular nonlinearity and an L^1 datum, Panda, A., Choudhuri, D., Tavares, L.S., Complex Variables and Elliptic Equations, 2023, 68(12), pp. 2093–2117

24. Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents, Zuo, J., Choudhuri, D., Repovš, D.D., Fractional Calculus and Applied Analysis, 2022, 25(6), pp. 2532–2553

25. On critical variable-order Kirchhoff type problems with variable singular exponent, Zuo, J., Choudhuri, D., Repovš, D.D. Journal of Mathematical Analysis and Applications, 2022, 514(1), 126264

26. Fractional p(·)-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity, Zuo, J., Soni, A., Choudhuri, D., Fractal and Fractional, 2022, 6(2), 106

27. Critical Kirchhoff p(·) & q(·) -fractional variable-order systems with variable exponent growth, Choudhuri, D., Zuo, J., Analysis and Mathematical Physics, 2022, 12(1), 30

28. Existence of multiple solutions to Schrödinger–Poisson system in a nonlocal set up in R^3, Choudhuri, D., Saoudi, K., Zeitschrift fur Angewandte Mathematik und Physik, 2022, 73(1), 33

29. Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities, Saoudi, K., Choudhuri, D., Kratou, M., Journal of Mathematical Physics, Analysis, Geometry, 2022, 18(4), pp. 514–545

30. Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities, Panda, A., Choudhuri, D., Complex Variables and Elliptic Equations, 2022, 67(12), pp. 2835–2865

31. Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure, Soni, A., Datta, S., Saoudi, K., Choudhuri, D., Complex Variables and Elliptic Equations, 2022, 67(4), pp. 872–886

32. Elliptic problem driven by different types of nonlinearities, Choudhuri, D., Repovš, D.D., Boundary Value Problems, 2021, 2021(1), 85

33. Self-duality of one-dimensional quasicrystals with spin-orbit interaction, Sahu, D.K., Acharya, A.P., Choudhuri, D., Datta, S. Physical Review B, 2021, 104(5), 054202

34. A singular elliptic problem involving fractional p -Laplacian and a discontinuous critical nonlinearity, Saoudi, K., Panda, A., Choudhuri, D., Journal of Mathematical Physics, 2021, 62(7), 071505

35. Existence of positive solutions for a singular elliptic problem with critical exponent and measure data, Panda, A., Choudhuri, D., Giri, R.K., Rocky Mountain Journal of Mathematics, 2021, 51(3), pp. 973–988

36. Ordering rsults on extremes of exponentiated location-scale models, Das, S., Kayal, S., Choudhuri, D., Probability in the Engineering and Informational Sciences, 2021, 35(2), pp. 331–354

37. A critical fractional choquard problem involving a singular nonlinearity and a Radon measure, Panda, A., Choudhuri, D., Saoudi, K., Journal of Pseudo-Differential Operators and Applications, 2021, 12(1), 22

38. Existence and Hölder regularity of infinitely many solutions to a p-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti–Rabinowitz (AR) condition, Choudhuri, D., Zeitschrift fur Angewandte Mathematik und Physik, 2021, 72(1), 36

39. Reduced limit approach to semilinear partial differential equations (PDEs) involving the fractional Laplacian with measure data Giri, R.K., Choudhuri, D., Turkish Journal of Mathematics, 2021, 45(5), pp. 2108–2125

40. Existence Results of Two Mixed Boundary Value Elliptic PDEs in R^N, Panda, A., Choudhuri, D., Bulletin of the Brazilian Mathematical Society, 2020, 51(2), pp. 543–568

41. Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity, Ghosh, S., Choudhuri, D., Positivity, 2020, 24(2), pp. 463–479

42. Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity, Ghosh, S., Choudhuri, D., Giri, R.K., Complex Variables and Elliptic Equations, 2020, pp. 1–21

43. Least energy sign-changing solution to a fractional p-Laplacian problem involving singularities, Ghosh, S., Saoudi, K., Kratou, M., Choudhuri, D., Dynamics of Partial Differential Equations, 2020, 17(2), pp. 97–115

44. Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity, Saoudi, K., Ghosh, S., Choudhuri, D., Journal of Mathematical Physics, 2019, 60(10), 101509

45. Singular Nonlocal Problem Involving Measure Data, Ghosh, S., Choudhuri, D., Giri, R.K., Bulletin of the Brazilian Mathematical Society, 2019, 50(1), pp. 187–209

46. A study of second order semilinear elliptic pde involving measures, Giri, R.K., Choudhuri, D., Filomat, 2019, 33(8), pp. 2489–2506

47. Multiplicity of solutions to an elliptic problem with singularity and measure data, Ghosh, S., Panda, A., Choudhuri, D., Electronic Journal of Differential Equations, 2019, 2019, 60

48. Elliptic partial differential equation involving a singularity and a radon measure, Panda, A., Ghosh, S., Choudhuri, D., Journal of the Indian Mathematical Society, 2019, 86(1-2), pp. 95–117

49. Sharp quadrature error bounds for the nearest-neighbor discretization of the regularized stokeslet boundary integral equation Gallagher, M.T., Choudhuri, D., Smith, D.J., SIAM Journal on Scientific Computing, 2019, 41(1), pp. B139–B152

50. Existence of multiple solutions to an elliptic problem with measure data, Soni, A., Choudhuri, D., Journal of Elliptic and Parabolic Equations, 2018, 4(2), pp. 369–388

51. A study on elliptic pde involving the p-harmonic and the p-biharmonic operators with steep potential well, Giri, R.K., Choudhuri, D., Pradhan, S., Matematicki Vesnik, 2018, 70(2), pp. 147–154

52. A Novel Application of the Classical Banach Fixed Point Theorem, Choudhuri, D., International Journal of Applied and Computational Mathematics, 2017, 3(3), pp. 1799–1808

53. A study of an arbitrary unsteady Stokes flow in and around a liquid sphere, Choudhuri, D., Sri Padmavati, B., Applied Mathematics and Computation, 2014, 243, pp. 644–656

54. Thermocapillary drift on a spherical drop in a viscous fluid, Choudhuri, D., Raja Sekhar, G.P., Physics of Fluids, 2013, 25(4), 043104

55. Stokes flow past an arbitrary shaped body with slip-stick boundary conditions, Choudhuri, D., Radha, R., Sri Padmavati, B., Applied Mathematics and Computation, 2013, 219(10), pp. 5367–5375

56. A study of an arbitrary Stokes flow past a fluid coated sphere in a fluid of a different viscosity, Choudhuri, D., Padmavati, B.S., Zeitschrift fur Angewandte Mathematik und Physik, 2010, 61(2), pp. 317–328