School of Basic Sciences

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Department of
Mathematics
School of Basic Sciences

Dr. Debajyoti Choudhuri

Associate Professor
  • Office: 307, SBS
  • dchoudhuri@iitbbs.ac.in
  • Department of Mathematics
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Brief Resume
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Personal Website
Research Interests:
I primarily delve into functional analytic and algebraic topological techniques to understand the existence and multiplicity of solutions to linear/nonlinear elliptic PDEs.
Education
 Degree Discipline Year School
  PhD Mathematics 2012 University of Hyderabad

In IIT BBS:

Partial Differential Equations
Differential Equations
Math-1

In NIT Rourkela:

Real Analysis
Functional Analysis
Measure Theory
Complex Analysis
Partial Differential Equations

Math-I
Math-II
Math-III

Graduated:

Dr. Amita Soni
Dr. Sekhar Ghosh
Dr. Akasmika Panda
Dr. Sangita Das (I was a Co-PI)

Ongoing:
Ms. Subhashree Sahu

  • Slovenian Research and Innovation Agency grant Visiting professor; worked with Prof. Duˇsan D. Repovˇs, Institute of Mathematics, Physics and Mechanics in Ljubljana, Slovenia, 2024
  • Xunta de Galicia, FEDER Visiting professor; worked with Prof. Jésus Antonio Álvarez López, University of Santiago, Spain, 2023
  • AScI fellowship Research member; worked with Prof. Juha Kinnunen, Aalto University, Espoo, Finland, 2019
  • EPSRC visiting grant Research member; worked with Prof. David Smith, School of Mathematics, Edgbaston, Birmingham, B15 2TT, United Kingdom, 2018
  • Aveiro grant Research member; worked with Prof. Eugenio Rocha and Prof. A. Caetano, Department of Mathematics, University of Aveiro Portugal, 2016
  • EPSRC visiting grant Research member; worked with Prof. David Smith, School of Mathematics, Edgbaston, Birmingham, B15 2TT, United Kingdom, 2014
  • CNPq Post doctoral Fellowship, Brazil, 2013
  • NBHM Postdoctoral fellowship 2012
  • Fellowship from the Clay Mathematics Institute based on my academic record to attend the month-long workshop on Evolution equations at ETH Zürich, Switzerland, 2008
  • Qualified & Offered the GATE scholarship, Government of India, 2006
  • Qualified CSIR (JRF) 2005
  • Received the silver medal in the Regional mathematics Olympiad during BSc conducted by the AP Teacher’s Association, 2002

Ongoing (As PI):

(1) NBHM Project – Understanding the ‘giant’ named supercaloric function to nonlinear evolution equation of parabolic type. Amount: 15,60,000 INR

Ongoing (As Co-PI):
(1) Underwater Acoustic composite metamaterial (RACCOM), cefipra Indo-French, project in NIT Rourkela. Amount: 70,72,734 INR

Completed (As PI):
(1) SERB MATRICS – Problems on elliptic PDEs involving singularities of various types with a measure data
(2) CSIR – A detailed study of the convection-diffusion-reaction and the Stokes equation applied to the study of protein dynamics inside a cell. Amount
(3) Design and develpement of vibration isolatos using negative stiffness mechanism, ISRO, Amount: 16,50,000 INR

A few selected publications:

 

    1. 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.

    2. 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

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

    4. 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

    5. 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

    6. 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

    7. 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

    8. 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

    9.  An abstract critical point theorem to study a class of elliptic problems, Debajyoti Choudhuri, Andrey Shishkov, Journal of Geometric Analysis, 35, Art ID: 278, 2025.

    10. 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

Complete list of publicaions:

  1. Neumann Problem with a discontinuous nonlineaity, Debajyoti Choudhuri, Dušan D. Repovš, K. Saoudi, accepted in Demonstratio Mathematica, 2026.

  2. Analysis of normalized solution to an elliptic free boundary value problem driven by a critical nonlinearity, Subhashree sahu, Debajyoti Choudhuri, Lamine Mbarki, accepted in Mathematical Notes, 2026.

  3. A study on existence and multiplicity of nodal solutions of a singularity driven Robin problem in Orlicz spaces, Subhashree Sahu, Jugal Mohapatra, Debajyoti Choudhuri and Kamel Saoudi, Discrete and Continuous Dynamical Systems – Series S (Accepted 2025)

  4. Existence and multiplicity of weak solutions for a ni-Serrin type equations, M.A. Hammou, L. Mbarki, D. Choudhuri, Rendiconti del Circolo Matematico di Palermo Series 2 (accepted)

  5. An abstract critical point theorem to study a class of elliptic problems, Debajyoti Choudhuri, Andrey Shishkov, Journal of Geometric Analysis, 2025 (accepted).
  6. Multiple solutions to an elliptic problem driven by a singular nonlinearity, Debajyoti Choudhuri, Ratan K. Giri, Kamel Saoudi, Journal of Differential Equations (accepted), 2025.
  7. 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., 2025 (accepted)
  8. 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
  9. Neumann problem driven by discontinuous nonlinearity, Jinxia Cen, D. Choudhuri, V.T. Nguyen, Discrete and Continuous Dynamical Systems: Series S, 18, 11 pp., 2025.
  10. A Study of the Prandtl Batchelor Problem Using Variational Method, D. Choudhuri, J. Zuo, Qual. Theory of Dn. Sys., 24, 43 (2025)
  11. 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
  12. On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak L1 data, S Sahu, D Choudhuri, DD Repovš, Asymptotic Analysis, 1-19, 2024
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. An elliptic problem of the Prandtl–Batchelor type with a singularity, Choudhuri, D., Repovš, D.D., Boundary Value Problems, 2023, 2023(1), 63
  19. 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
  20. 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
  21. 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
  22. Algebraic topological techniques for elliptic problems involving fractional Laplacian, Panda, A., Choudhuri, D., Bahrouni, A., Manuscripta Mathematica, 2023, 170(3-4), pp. 563–579
  23. A MULTIPLICITY RESULTS TO A 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
  24. A critical elliptic problem involving exponential and singular nonlinearities, Choudhuri, D., Saoudi, K., Fractional Calculus and Applied Analysis, 2023, 26(1), pp. 399–413
  25. 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
  26. ELLIPTIC PROBLEM IN AN EXTERIOR DOMAIN DRIVEN BY A SINGULARITY WITH A NONLOCAL NEUMANN CONDITION , Choudhuri, D., Saoudi, K., Methods of Functional Analysis and Topology, 2023, 29(1-2), pp. 16–29
  27. 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
  28. 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
  29. 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
  30. Fractional p(·)-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity, Zuo, J., Soni, A., Choudhuri, D., Fractal and Fractional, 2022, 6(2), 106
  31. Critical Kirchhoff p(·) & q(·) -fractional variable-order systems with variable exponent growth, Choudhuri, D., Zuo, J., Analysis and Mathematical Physics, 2022, 12(1), 30
  32. 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
  33. 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
  34. 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
  35. 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
  36. Elliptic problem driven by different types of nonlinearities, Choudhuri, D., Repovš, D.D., Boundary Value Problems, 2021, 2021(1), 85
  37. 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
  38. 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
  39. 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
  40. ORDERING RESULTS 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
  41. 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
  42. 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
  43. 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
  44. 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
  45. Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity, Ghosh, S., Choudhuri, D., Positivity, 2020, 24(2), pp. 463–479
  46. 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
  47. 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
  48. 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
  49. 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
  50. A study of second order semilinear elliptic pde involving measures, Giri, R.K., Choudhuri, D., Filomat, 2019, 33(8), pp. 2489–2506
  51. 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
  52. 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
  53. 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
  54. 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
  55. 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
  56. 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
  57. 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
  58. Thermocapillary drift on a spherical drop in a viscous fluid, Choudhuri, D., Raja Sekhar, G.P., Physics of Fluids, 2013, 25(4), 043104
  59. 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
  60. 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
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